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To add fractions with the same denominator: 1) Add the numerators and keep the denominators the same 2) Simplify or reduce the fraction by finding the greatest common factor of the numerator and denominator and dividing both by it 3) An improper fraction resulting from the addition can be converted to a mixed number by dividing the numerator by the denominator and writing any remainder over the original denominator

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Adding and Subtracting Fractions with Like Denominators

The document discusses adding and subtracting fractions with like denominators. It explains that fractions have like denominators if they have the same number on the bottom. To add fractions with like denominators, you add the top numbers and keep the bottom number the same. To subtract fractions with like denominators, you follow the same steps as addition but subtract the top numbers instead of adding them. Examples are provided to demonstrate both addition and subtraction of fractions with like denominators.

Adding Fractions

This document provides instruction on adding fractions with different denominators. It begins by explaining why understanding fractions is important for success in algebra and beyond. It then defines the key parts of a fraction and establishes the important rule that fractions can only be added if they have a common denominator. The document demonstrates how to find the lowest common denominator and convert fractions to equivalent forms with the common denominator in order to add them. It emphasizes that equivalent fractions allow fractions to retain their original value even when the denominator changes.

Fractions comparing ordering

This document discusses comparing and ordering fractions. It provides examples of using less than, greater than, and equal to symbols to compare fractions with different denominators. It explains that to do this, you need to find the least common denominator and rewrite the fractions with equivalent denominators. The document also gives examples of ordering fractions from least to greatest value by finding a common denominator and comparing the numerators.

Comparing and Ordering Numbers

This document discusses comparing and ordering numbers. It explains how to compare numbers by lining them up based on place value and comparing the digits from left to right. Lower digits represent smaller values. It provides examples of comparing standard and word forms of numbers. The document also demonstrates how to order numbers from least to greatest or greatest to least by comparing place values from left to right and arranging the numbers in the appropriate order.

Two-Digit Division

1. The document explains the steps for long division with a 2 digit divisor through an example of dividing 418 by 21.
2. It breaks down the process into 5 steps - dividing, multiplying, subtracting, bringing down remaining digits, and repeating the steps or noting the remainder.
3. Following these steps, the example divides 418 by 21 and gets a quotient of 20 with a remainder of 3.

Adding and subtracting fractions

Adding and subtracting fractions involves making the bottom numbers the same by finding the lowest common multiple and multiplying the top numbers of each fraction by the same amount. Then the top numbers are either added or subtracted, while keeping the bottom number the same, to obtain the final fraction answer. The document provides steps for adding the fractions 3/4 and 1/3 as an example.

Proper; Improper & Mixed Number Fractions

This document discusses different types of fractions:
- Proper fractions have a numerator less than the denominator (e.g. 1/4).
- Improper fractions have a numerator greater than or equal to the denominator (e.g. 5/3).
- Mixed numbers are a combination of a whole number and a proper fraction (e.g. 2 1/4).
The document provides examples of converting between improper fractions and mixed numbers by dividing the numerator by the denominator to get the whole number part and remainder.

Add Fractions With Unlike Denominators

This document provides steps for adding fractions with unlike denominators:
1) Find equivalent fractions with a common denominator
2) Add the numerators and use the sum as the new numerator
3) Keep the common denominator as the denominator
4) Simplify the resulting fraction if possible by reducing to lowest terms
Worked examples demonstrate applying the steps to add several pairs of fractions.

Adding and Subtracting Fractions with Like Denominators

The document discusses adding and subtracting fractions with like denominators. It explains that fractions have like denominators if they have the same number on the bottom. To add fractions with like denominators, you add the top numbers and keep the bottom number the same. To subtract fractions with like denominators, you follow the same steps as addition but subtract the top numbers instead of adding them. Examples are provided to demonstrate both addition and subtraction of fractions with like denominators.

Adding Fractions

This document provides instruction on adding fractions with different denominators. It begins by explaining why understanding fractions is important for success in algebra and beyond. It then defines the key parts of a fraction and establishes the important rule that fractions can only be added if they have a common denominator. The document demonstrates how to find the lowest common denominator and convert fractions to equivalent forms with the common denominator in order to add them. It emphasizes that equivalent fractions allow fractions to retain their original value even when the denominator changes.

Fractions comparing ordering

This document discusses comparing and ordering fractions. It provides examples of using less than, greater than, and equal to symbols to compare fractions with different denominators. It explains that to do this, you need to find the least common denominator and rewrite the fractions with equivalent denominators. The document also gives examples of ordering fractions from least to greatest value by finding a common denominator and comparing the numerators.

Comparing and Ordering Numbers

This document discusses comparing and ordering numbers. It explains how to compare numbers by lining them up based on place value and comparing the digits from left to right. Lower digits represent smaller values. It provides examples of comparing standard and word forms of numbers. The document also demonstrates how to order numbers from least to greatest or greatest to least by comparing place values from left to right and arranging the numbers in the appropriate order.

Two-Digit Division

1. The document explains the steps for long division with a 2 digit divisor through an example of dividing 418 by 21.
2. It breaks down the process into 5 steps - dividing, multiplying, subtracting, bringing down remaining digits, and repeating the steps or noting the remainder.
3. Following these steps, the example divides 418 by 21 and gets a quotient of 20 with a remainder of 3.

Adding and subtracting fractions

Adding and subtracting fractions involves making the bottom numbers the same by finding the lowest common multiple and multiplying the top numbers of each fraction by the same amount. Then the top numbers are either added or subtracted, while keeping the bottom number the same, to obtain the final fraction answer. The document provides steps for adding the fractions 3/4 and 1/3 as an example.

Proper; Improper & Mixed Number Fractions

This document discusses different types of fractions:
- Proper fractions have a numerator less than the denominator (e.g. 1/4).
- Improper fractions have a numerator greater than or equal to the denominator (e.g. 5/3).
- Mixed numbers are a combination of a whole number and a proper fraction (e.g. 2 1/4).
The document provides examples of converting between improper fractions and mixed numbers by dividing the numerator by the denominator to get the whole number part and remainder.

Add Fractions With Unlike Denominators

This document provides steps for adding fractions with unlike denominators:
1) Find equivalent fractions with a common denominator
2) Add the numerators and use the sum as the new numerator
3) Keep the common denominator as the denominator
4) Simplify the resulting fraction if possible by reducing to lowest terms
Worked examples demonstrate applying the steps to add several pairs of fractions.

Fractions lesson 1 introduction

This document defines and provides examples of different types of fractions - proper, improper, and mixed numbers. It explains that a fraction represents a part of a whole, with the denominator indicating how many equal parts the whole is divided into and the numerator indicating how many of those parts are being considered. Examples are given of different fractions and what they represent visually in different shapes divided into parts. Students are then given problems to practice identifying fractions and applying fraction concepts.

Adding Fractions With Unlike Denominators

To add or subtract fractions with unlike denominators:
1. Find the least common multiple (LCM) of the denominators.
2. Write the fractions with this LCM as the new denominator by multiplying the numerators and denominators.
3. Add or subtract the new numerators and put over the common denominator.
4. Simplify the final fraction if possible by dividing the numerator and denominator by common factors.

division

Division is the process of splitting a quantity into equal parts or groups. The amount being divided is called the dividend, while the number it is being divided by is the divisor. To perform division, the divisor is subtracted from the dividend repeatedly until the remainder is zero. The number of times the divisor is subtracted is the quotient. Common word problems involving division use language like "share", "each", and "equal groups". Strategies for solving division problems include repeated addition, repeated subtraction, writing the division as a symbol, or drawing pictures to represent sharing into groups.

Dividing decimals part 1

This document provides instructions and examples for dividing decimals. It explains that when dividing a decimal by a whole number, the decimal point is placed in the quotient directly above the decimal point in the dividend. It also explains that when dividing decimals, the decimal point in the divisor is moved to the right until the end of its digits, and the decimal point in the dividend is moved the same number of places. This is demonstrated through examples of dividing decimals by whole numbers and decimals.

Adding And Subtracting Fractions

The document discusses adding and subtracting fractions with like denominators. It provides steps for adding and subtracting numerators while keeping the denominators the same. Examples are shown of adding and subtracting fractions with like denominators. Additional practice problems are presented for the reader to work through.

Comparing Fractions

This document discusses different methods for comparing fractions, including:
1) Comparing fractions with the same denominator by looking at the numerators
2) Making the denominators the same by finding the least common multiple before comparing
3) Comparing fractions by multiplying the numerators and denominators
4) Converting fractions to decimals and comparing the decimal forms
The key steps are to simplify the fractions to have a common denominator or convert to decimals before determining which fraction is greater.

Multiplying and dividing fractions

To multiply fractions, multiply the top numbers together and the bottom numbers together, cancelling common factors if possible. To divide fractions, flip the second fraction upside down, change the division sign to multiplication, and then multiply the tops and bottoms together. The document provides instructions for multiplying and dividing fractions by explaining the rules to multiply the numerators and denominators, and to flip the second fraction when dividing.

Ordering fractions

The document discusses how to order fractions from smallest to largest. It explains that when the denominators are the same, you compare the numerators, but when denominators differ, you need to find the least common multiple (LCM) of the denominators to convert the fractions to equivalent fractions with a common denominator. This allows the fractions to be properly ordered by comparing their numerators. Examples are provided to demonstrate how to order fractions step-by-step by finding the LCM, converting to equivalent fractions, and then arranging the fractions from smallest to largest based on the value of the numerators.

Grade 4 Fractions

The document discusses teaching 4th grade math lessons on fractions, including adding, subtracting, and multiplying fractions. It provides 3 steps for adding and subtracting fractions which involve making the denominators the same before adding or subtracting the numerators. For multiplying fractions, it emphasizes that students should multiply the numerators and denominators across, rather than cross-multiplying. Some sample questions are provided to work on.

Comparing And Ordering Decimals

1) The document discusses ordering decimals from least to greatest using place value and number lines. It provides examples of ordering prices from a McDonald's menu and test scores.
2) Equivalent decimals have the same value even if they have a different number of decimal places. Annexing zeros by adding trailing zeros does not change a decimal's value.
3) To order decimals from least to greatest, decimals are first lined up and zeros are annexed to give each number the same number of decimal places. Then the decimals are compared using place value starting from the left.

Adding without Regrouping

This document discusses adding numbers without regrouping. It explains that adding numbers means combining two sets to form a new set. It provides examples of adding two-digit and three-digit numbers step-by-step without regrouping. The steps are to add the ones, tens, and hundreds places separately. Practice problems are included for the reader to try adding numbers without regrouping.

Add Mixed Numbers

The document provides step-by-step instructions for adding mixed numbers. It begins with a review of key terms like denominator, unlike denominators, and mixed number. It then outlines a 4-step process for adding mixed numbers: 1) Find the least common denominator to make the fractions like, 2) Add the fractions, 3) Add the whole numbers, 4) Simplify the resulting fraction if possible. This is demonstrated through worked examples adding various mixed numbers like 1 3/7 + 3 1/2 and 2 3/5 + 4 6/7.

Equivalent fraction

Equivalent fractions have the same value even though they may look different. They have different numerators and denominators because multiplying or dividing both the top and bottom of a fraction by the same number keeps its value. There are two ways to find equivalent fractions: 1) multiply the numerator and denominator by the same number, or 2) divide the numerator and denominator by the same number.

Fractions for year 3

1. Fractions represent parts of a whole that is divided into equal parts. A fraction has a numerator above a denominator, where the numerator tells how many parts are being considered and the denominator tells how many parts make the whole.
2. Fractions can be represented on a number line, where each increment represents another equal part of the whole. Common fractions include halves, thirds, and quarters.
3. Fractions are used in everyday situations like baking, where recipes call for measurements like 1/4 cup of an ingredient. They help describe portions or percentages of a whole object or quantity.

Add & subtract mixed numbers

The document discusses mixed numbers and how to add and convert fractions. It explains that a mixed number has a whole number part and fractional part. It provides examples of finding common denominators and equivalent fractions to add fractions with different denominators. It demonstrates how to convert improper fractions to mixed numbers.

Multiplication of decimals

This document provides examples and instructions for multiplying mixed decimals. It explains that when multiplying a mixed decimal by a whole number or another mixed decimal, you multiply as usual but pay attention to the number of decimal places in the factors and product. The product should have the same number of decimal places as the total number of decimal places in the factors. Several word problems involving rates and distances are solved as examples using multiplication of mixed decimals.

Prime and Composite Numbers

The document defines prime and composite numbers. A prime number has only two factors - itself and 1, and is only divisible by those two numbers. A composite number has more than two factors. This is illustrated with 2 being a prime number since it only has two factors, and 6 being a composite number since it has four factors. The key points are that a prime number has two factors, a composite number has more than two, and these categories do not apply to negative integers.

Intro to decimals

A decimal represents a part of a whole number and is used to represent fractions or amounts less than one. It is commonly used to represent monetary amounts by showing the fractional part of a dollar. To read a decimal, you say the whole number followed by the name of the place value of the decimal place being read, such as twelve and thirty-five hundredths for 12.35. Decimals can be compared by writing them with lined up decimal points and ordering them place value by place value from largest to smallest.

Dividing Fractions

This document provides instructions for dividing fractions. It begins by giving examples of dividing whole numbers and fractions. It explains that when dividing fractions between 0 and 1, the quotient will be larger than at least one of the fractions. The steps for dividing fractions are then outlined: 1) convert fractions to improper form, 2) keep the first fraction, 3) change the operation to multiplication, 4) take the reciprocal of the second fraction, 5) multiply the numerators and denominators, and 6) simplify if possible. Several examples are worked through to demonstrate the process.

Decimals

The document discusses decimals and their relationship to fractions. It explains that decimals extend the place value system to include values less than one. The value of each place decreases by a factor of ten as you move to the right of the decimal point. Decimals can be added, subtracted, multiplied and divided using standard algorithms. Terminating decimals can be converted to fractions by writing the decimal as the numerator over an appropriate power of ten as the denominator. Repeating decimals can be converted to fractions by writing the repeating portion as the numerator over nines and zeros in the denominator.

Adding and Subtracting Fractions

The document discusses adding and subtracting simple fractions and harder fractions. It explains that when adding or subtracting fractions, they must have the same denominator. It provides examples such as 3/5 + 1/5 = 4/5 and 7/8 - 3/8 = 4/8. For harder fractions with different denominators, the document explains that we can find equivalent fractions with a common denominator to add them.

How To Find The Area Of An Unusual Shape

The document explains how to find the area of an unusual shape made up of two rectangles. It shows calculating the area of each rectangle and then adding them together to find the total area. The area of the blue rectangle is calculated as 45 x 35 = 1575 square units. The area of the pink rectangle is 22 x 20 = 440 square units. The total area is found by adding these numbers: 1575 + 440 = 2015 square units.

Fractions lesson 1 introduction

This document defines and provides examples of different types of fractions - proper, improper, and mixed numbers. It explains that a fraction represents a part of a whole, with the denominator indicating how many equal parts the whole is divided into and the numerator indicating how many of those parts are being considered. Examples are given of different fractions and what they represent visually in different shapes divided into parts. Students are then given problems to practice identifying fractions and applying fraction concepts.

Adding Fractions With Unlike Denominators

To add or subtract fractions with unlike denominators:
1. Find the least common multiple (LCM) of the denominators.
2. Write the fractions with this LCM as the new denominator by multiplying the numerators and denominators.
3. Add or subtract the new numerators and put over the common denominator.
4. Simplify the final fraction if possible by dividing the numerator and denominator by common factors.

division

Division is the process of splitting a quantity into equal parts or groups. The amount being divided is called the dividend, while the number it is being divided by is the divisor. To perform division, the divisor is subtracted from the dividend repeatedly until the remainder is zero. The number of times the divisor is subtracted is the quotient. Common word problems involving division use language like "share", "each", and "equal groups". Strategies for solving division problems include repeated addition, repeated subtraction, writing the division as a symbol, or drawing pictures to represent sharing into groups.

Dividing decimals part 1

This document provides instructions and examples for dividing decimals. It explains that when dividing a decimal by a whole number, the decimal point is placed in the quotient directly above the decimal point in the dividend. It also explains that when dividing decimals, the decimal point in the divisor is moved to the right until the end of its digits, and the decimal point in the dividend is moved the same number of places. This is demonstrated through examples of dividing decimals by whole numbers and decimals.

Adding And Subtracting Fractions

The document discusses adding and subtracting fractions with like denominators. It provides steps for adding and subtracting numerators while keeping the denominators the same. Examples are shown of adding and subtracting fractions with like denominators. Additional practice problems are presented for the reader to work through.

Comparing Fractions

This document discusses different methods for comparing fractions, including:
1) Comparing fractions with the same denominator by looking at the numerators
2) Making the denominators the same by finding the least common multiple before comparing
3) Comparing fractions by multiplying the numerators and denominators
4) Converting fractions to decimals and comparing the decimal forms
The key steps are to simplify the fractions to have a common denominator or convert to decimals before determining which fraction is greater.

Multiplying and dividing fractions

To multiply fractions, multiply the top numbers together and the bottom numbers together, cancelling common factors if possible. To divide fractions, flip the second fraction upside down, change the division sign to multiplication, and then multiply the tops and bottoms together. The document provides instructions for multiplying and dividing fractions by explaining the rules to multiply the numerators and denominators, and to flip the second fraction when dividing.

Ordering fractions

The document discusses how to order fractions from smallest to largest. It explains that when the denominators are the same, you compare the numerators, but when denominators differ, you need to find the least common multiple (LCM) of the denominators to convert the fractions to equivalent fractions with a common denominator. This allows the fractions to be properly ordered by comparing their numerators. Examples are provided to demonstrate how to order fractions step-by-step by finding the LCM, converting to equivalent fractions, and then arranging the fractions from smallest to largest based on the value of the numerators.

Grade 4 Fractions

The document discusses teaching 4th grade math lessons on fractions, including adding, subtracting, and multiplying fractions. It provides 3 steps for adding and subtracting fractions which involve making the denominators the same before adding or subtracting the numerators. For multiplying fractions, it emphasizes that students should multiply the numerators and denominators across, rather than cross-multiplying. Some sample questions are provided to work on.

Comparing And Ordering Decimals

1) The document discusses ordering decimals from least to greatest using place value and number lines. It provides examples of ordering prices from a McDonald's menu and test scores.
2) Equivalent decimals have the same value even if they have a different number of decimal places. Annexing zeros by adding trailing zeros does not change a decimal's value.
3) To order decimals from least to greatest, decimals are first lined up and zeros are annexed to give each number the same number of decimal places. Then the decimals are compared using place value starting from the left.

Adding without Regrouping

This document discusses adding numbers without regrouping. It explains that adding numbers means combining two sets to form a new set. It provides examples of adding two-digit and three-digit numbers step-by-step without regrouping. The steps are to add the ones, tens, and hundreds places separately. Practice problems are included for the reader to try adding numbers without regrouping.

Add Mixed Numbers

The document provides step-by-step instructions for adding mixed numbers. It begins with a review of key terms like denominator, unlike denominators, and mixed number. It then outlines a 4-step process for adding mixed numbers: 1) Find the least common denominator to make the fractions like, 2) Add the fractions, 3) Add the whole numbers, 4) Simplify the resulting fraction if possible. This is demonstrated through worked examples adding various mixed numbers like 1 3/7 + 3 1/2 and 2 3/5 + 4 6/7.

Equivalent fraction

Equivalent fractions have the same value even though they may look different. They have different numerators and denominators because multiplying or dividing both the top and bottom of a fraction by the same number keeps its value. There are two ways to find equivalent fractions: 1) multiply the numerator and denominator by the same number, or 2) divide the numerator and denominator by the same number.

Fractions for year 3

1. Fractions represent parts of a whole that is divided into equal parts. A fraction has a numerator above a denominator, where the numerator tells how many parts are being considered and the denominator tells how many parts make the whole.
2. Fractions can be represented on a number line, where each increment represents another equal part of the whole. Common fractions include halves, thirds, and quarters.
3. Fractions are used in everyday situations like baking, where recipes call for measurements like 1/4 cup of an ingredient. They help describe portions or percentages of a whole object or quantity.

Add & subtract mixed numbers

The document discusses mixed numbers and how to add and convert fractions. It explains that a mixed number has a whole number part and fractional part. It provides examples of finding common denominators and equivalent fractions to add fractions with different denominators. It demonstrates how to convert improper fractions to mixed numbers.

Multiplication of decimals

This document provides examples and instructions for multiplying mixed decimals. It explains that when multiplying a mixed decimal by a whole number or another mixed decimal, you multiply as usual but pay attention to the number of decimal places in the factors and product. The product should have the same number of decimal places as the total number of decimal places in the factors. Several word problems involving rates and distances are solved as examples using multiplication of mixed decimals.

Prime and Composite Numbers

The document defines prime and composite numbers. A prime number has only two factors - itself and 1, and is only divisible by those two numbers. A composite number has more than two factors. This is illustrated with 2 being a prime number since it only has two factors, and 6 being a composite number since it has four factors. The key points are that a prime number has two factors, a composite number has more than two, and these categories do not apply to negative integers.

Intro to decimals

A decimal represents a part of a whole number and is used to represent fractions or amounts less than one. It is commonly used to represent monetary amounts by showing the fractional part of a dollar. To read a decimal, you say the whole number followed by the name of the place value of the decimal place being read, such as twelve and thirty-five hundredths for 12.35. Decimals can be compared by writing them with lined up decimal points and ordering them place value by place value from largest to smallest.

Dividing Fractions

This document provides instructions for dividing fractions. It begins by giving examples of dividing whole numbers and fractions. It explains that when dividing fractions between 0 and 1, the quotient will be larger than at least one of the fractions. The steps for dividing fractions are then outlined: 1) convert fractions to improper form, 2) keep the first fraction, 3) change the operation to multiplication, 4) take the reciprocal of the second fraction, 5) multiply the numerators and denominators, and 6) simplify if possible. Several examples are worked through to demonstrate the process.

Decimals

The document discusses decimals and their relationship to fractions. It explains that decimals extend the place value system to include values less than one. The value of each place decreases by a factor of ten as you move to the right of the decimal point. Decimals can be added, subtracted, multiplied and divided using standard algorithms. Terminating decimals can be converted to fractions by writing the decimal as the numerator over an appropriate power of ten as the denominator. Repeating decimals can be converted to fractions by writing the repeating portion as the numerator over nines and zeros in the denominator.

Fractions lesson 1 introduction

Fractions lesson 1 introduction

Adding Fractions With Unlike Denominators

Adding Fractions With Unlike Denominators

division

division

Dividing decimals part 1

Dividing decimals part 1

Adding And Subtracting Fractions

Adding And Subtracting Fractions

Comparing Fractions

Comparing Fractions

Multiplying and dividing fractions

Multiplying and dividing fractions

Ordering fractions

Ordering fractions

Grade 4 Fractions

Grade 4 Fractions

Comparing And Ordering Decimals

Comparing And Ordering Decimals

Adding without Regrouping

Adding without Regrouping

Add Mixed Numbers

Add Mixed Numbers

Equivalent fraction

Equivalent fraction

Fractions for year 3

Fractions for year 3

Add & subtract mixed numbers

Add & subtract mixed numbers

Multiplication of decimals

Multiplication of decimals

Prime and Composite Numbers

Prime and Composite Numbers

Intro to decimals

Intro to decimals

Dividing Fractions

Dividing Fractions

Decimals

Decimals

Adding and Subtracting Fractions

The document discusses adding and subtracting simple fractions and harder fractions. It explains that when adding or subtracting fractions, they must have the same denominator. It provides examples such as 3/5 + 1/5 = 4/5 and 7/8 - 3/8 = 4/8. For harder fractions with different denominators, the document explains that we can find equivalent fractions with a common denominator to add them.

How To Find The Area Of An Unusual Shape

The document explains how to find the area of an unusual shape made up of two rectangles. It shows calculating the area of each rectangle and then adding them together to find the total area. The area of the blue rectangle is calculated as 45 x 35 = 1575 square units. The area of the pink rectangle is 22 x 20 = 440 square units. The total area is found by adding these numbers: 1575 + 440 = 2015 square units.

2 Digit Multiplication Easily Explained

The document explains how to perform 2-digit multiplication. It goes through the step-by-step process, which includes: 1) lining up the numbers with their place values, 2) multiplying the ones place and carrying numbers, 3) multiplying the tens place and using a placeholder zero, and 4) adding the partial products together to get the final product. The example shown is 26 x 12 = 312, and each step of the multiplication is demonstrated.

Free fraction-strips

The document contains a series of numbers from 1 to 16 repeated in various sequences. It does not provide any other text, context, or meaning. The numbers seem to be randomly arranged with no apparent pattern or structure.

Multiplying fractions

This document discusses how to multiply fractions and mixed numbers. It states that when multiplying mixed numbers, the first step is to change any mixed numbers into improper fractions before multiplying. The document then lists "Multiplying Mixed Numbers 1" and "Multiplying Mixed Numbers 2" as headings to further explain the process of multiplying mixed numbers.

Adding,subtracting,multiplying and dividing fractions

This document provides an overview of how to perform the basic math operations of addition, subtraction, multiplication, and division on fractions. It explains that to add or subtract fractions you find the lowest common denominator (LCM) and then multiply the numerators and denominators. For multiplication, you multiply the numerators and denominators. For division, you invert the second fraction and multiply.

Multiplying fractions 1

How to multiply fractions worksheet. A grade 7 or 8 level math worksheet which can be used to practice fractions multiplication. This worksheet can bridge between easy multiplication to higher level multiplication of fractions.

Lesson 2 fractions

This document provides instructions for an activity using fraction strips and a whiteboard to practice converting fractions to mixed numbers. Students will divide the whiteboard into six sections and write a number between 1 and 12 in each section. They will then write each number as a mixed number and explore other possible mixed number representations of fractional amounts like ten slices of cake. The activity draws from exercises on page 73 of the Abacus workbook.

Mixed Numbers & Equivalent Fractions

The document discusses fractions, including whole numbers, mixed numbers, and improper fractions. It explains that improper fractions are when the numerator is greater than the denominator, such as 7/4. The document provides examples of representing fractional amounts as mixed numbers and improper fractions, such as writing the number of slices in a picture as a mixed number or improper fraction.

Four types of sentences for kids!

The document defines and provides examples of four sentence types: interrogative sentences which ask questions and end with question marks, imperative sentences which give commands and end with periods, exclamatory sentences which express strong feelings and end with exclamation points, and declarative sentences which make statements and end with periods. It then identifies examples as belonging to one of these four sentence types.

Fractions - the four rules

This document provides instructions for adding, subtracting, multiplying, and dividing fractions. It explains that to add or subtract fractions, they must have a common denominator. To multiply fractions, multiply the numerators and denominators. To divide fractions, flip the second fraction and multiply instead of divide. It also discusses getting common denominators by finding a lowest common multiple of the denominators.

Adding & Subtraction Fractions with unlike denom

The document provides steps and examples for adding and subtracting fractions with unlike denominators. It explains that a common denominator is needed before fractions can be added or subtracted. Multiple examples are shown finding common denominators and then adding or subtracting the numerators before making the final fractions equivalent.

Area of Irregular Figures

This document discusses finding the area of irregular figures by breaking them into familiar geometric shapes. It provides examples of estimating the area of irregular figures using graph paper, as well as calculating the exact area by decomposing figures into components like rectangles, triangles, parallelograms, and semicircles. Students are shown how to write out the steps to find each area component and then add them together to get the total area of the irregular figure. The final example problem asks students to determine how much tile or wallpaper is needed to cover irregularly shaped surfaces.

Fractions - Add, Subtract, Multiply and Divide

The document discusses different arithmetic operations that can be performed on fractions, including addition, subtraction, multiplication, and division. It provides examples of how to convert fractions to equivalent fractions with a common denominator to allow for addition and subtraction. For multiplication and division, it notes that fractions can be directly multiplied or divided without requiring a common denominator. Steps are demonstrated through examples for how to perform each operation on fractions.

Fractions

This document provides an overview of fractions including: examples of proper and improper fractions and mixed fractions; equivalent fractions; adding, subtracting, multiplying, and dividing fractions; comparing fractions; and how the numerator and denominator affect the size of a fraction. It explains key fraction concepts and mathematical operations involving fractions through examples.

4 Rules of Fractions

This presentation teaches how to perform basic fraction operations:
- Adding fractions requires having a common denominator
- Subtracting and multiplying fractions also require a common denominator and use similar processes as addition and multiplication of whole numbers
- Dividing fractions involves flipping the second fraction and turning division into multiplication
- To get a common denominator when adding or subtracting, multiply the denominators and adjust the numerators proportionately

Strategic Management models and diagrams

100 Strategic Management models and diagrams for your powerful business presentations.
Content:
Powerpoint, presentations, business, slides, diagrams, charts, Strategic Pyramid, Strategic Vision, Strategy Alternatives, Five Forces Model, Competitive Advantage, Generic Strategies, Growth Strategies, Diversification Strategy, BCG Matrix, GE Business Screen, Cost Strategies, Exit/Entry Barriers, Resource Analysis, Core Competencies, Product-Life-Cycle, Top-Down-Management, Industry Analysis, International Strategies, SWOT Analysis, Portfolio Analysis, McKinsey’s 7-S Framework, Five-Phase Growth Model, Strategy Development, Merger&Acquisitions, Technology Strategies, Value Propositions, Ansoff Matrix, Experience Curve, Strategic Options, Window of Opportunity
Downlaod these diagrams on
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A detailed lesson plan

The document provides a detailed lesson plan for a grade 4 mathematics class on adding and subtracting fractions. The lesson plan outlines objectives, subject matter, procedures used, and examples worked through step-by-step with the class. The key topics covered are: adding and subtracting fractions with similar and dissimilar denominators, as well as adding and subtracting mixed numbers with similar and dissimilar denominators. The teacher leads the class through examples of each process.

Blue Ocean Strategy Summary

The document discusses key concepts from Blue Ocean Strategy, including:
1. Value innovation is created by favorably affecting both cost structure and value proposition to buyers. Costs are reduced by eliminating competition factors while buyer value is increased by offering new elements.
2. Blue ocean strategy aims to create new market space by breaking the value-cost tradeoff, while red ocean strategy involves competing in existing market space on factors like cost or differentiation.
3. Tools for developing blue ocean strategy include the strategy canvas, four actions framework, buyer utility map, and analyzing the buyer experience cycle. The strategic sequence and evaluating ideas on utility, price, cost and adoption are also discussed.

Blue Ocean Strategy - Summary and Examples

This is a workshop presentation developed by KB Yip and YS Lieu for a Learning Institution. It can be easily customized to suit the needs for other organizations. Please contact KB Yip (ymike27@hotmail.com) if you need to get a copy of this presentation.

Adding and Subtracting Fractions

Adding and Subtracting Fractions

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How To Find The Area Of An Unusual Shape

2 Digit Multiplication Easily Explained

2 Digit Multiplication Easily Explained

Free fraction-strips

Free fraction-strips

Multiplying fractions

Multiplying fractions

Adding,subtracting,multiplying and dividing fractions

Adding,subtracting,multiplying and dividing fractions

Multiplying fractions 1

Multiplying fractions 1

Lesson 2 fractions

Lesson 2 fractions

Mixed Numbers & Equivalent Fractions

Mixed Numbers & Equivalent Fractions

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Four types of sentences for kids!

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Fractions - the four rules

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Adding & Subtraction Fractions with unlike denom

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Area of Irregular Figures

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Fractions - Add, Subtract, Multiply and Divide

Fractions

Fractions

4 Rules of Fractions

4 Rules of Fractions

Strategic Management models and diagrams

Strategic Management models and diagrams

A detailed lesson plan

A detailed lesson plan

Blue Ocean Strategy Summary

Blue Ocean Strategy Summary

Blue Ocean Strategy - Summary and Examples

Blue Ocean Strategy - Summary and Examples

Chapter 2 Study Guides

1) A mixed number has a whole number part and a fractional part, while an improper fraction has a numerator larger than the denominator.
2) To change between mixed numbers and improper fractions, you can multiply or divide the whole number by the denominator and add or subtract the numerator.
3) When adding, subtracting, multiplying or dividing fractions, you often need a common denominator or need to use reciprocals.

add sub fractions.pptx

This document provides information on various fraction concepts and operations including:
1) Adding similar fractions by adding the numerators and copying the denominators.
2) Multiplying fractions by multiplying the numerators and denominators.
3) Dividing fractions by changing the second fraction to its reciprocal and multiplying.
4) Performing operations on decimals by aligning the decimal points and applying the same rules as whole numbers.

Fractions

Fractions can represent parts of a whole that is divided into equal sections. A fraction has a numerator above the line and a denominator below. Equivalent fractions have the same value even if they look different. Mixed numbers contain a whole number and fraction, while improper fractions are larger than 1. To add or subtract fractions, their denominators must be the same, so they may need to be converted to an equivalent form by multiplying the numerator and denominator by the same number.

Understanding fractions

This document is a PowerPoint presentation about fractions for 8th grade students. It contains definitions of key fraction terms like numerator, denominator, improper fractions, and mixed numbers. It explains how to add, subtract, multiply, and divide fractions, including using common denominators for addition and subtraction of unlike fractions. It also discusses equivalent fractions and how to determine if two fractions are equivalent using scale factors or cross-multiplication. The learning objectives are for students to understand fraction operations and how to find equivalent fractions.

Adding and subtracting fractions

This document provides instructions for adding and subtracting fractions. It begins by defining key fraction terms like numerator, denominator, and different fraction types. It then explains how to add and subtract similar fractions by keeping the same denominator and combining numerators. The document also demonstrates how to change dissimilar fractions into similar fractions by finding a common denominator. Finally, it shows how to add and subtract mixed numbers and dissimilar fractions by first changing them into similar fractions if needed. Exercises with worked out solutions are provided for students to practice adding, subtracting, and simplifying fractions.

Adding and subtracting fractions

This document discusses how to add fractions with common and different denominators. It explains that fractions must first be converted to equivalent fractions that have a common denominator before they can be added. This common denominator is found by determining the lowest common multiple of the original denominators. The document provides examples of finding the lowest common multiple and using it to convert fractions to equivalent fractions with a common denominator so they are ready to be added.

Section 2.3 2.4 mult div rational (algebra)

Rational numbers include fractions, integers, whole numbers, and numbers that can be written as fractions. To multiply fractions, multiply the numerators and denominators. To divide fractions, change the division to multiplication and take the reciprocal of the second fraction. Examples are provided for multiplying and dividing fractions and mixed numbers.

Fractions (addition, subtraction, rounding, fraction of amounts).pptx

The document provides information about a math tutorial covering fractions. It discusses simplifying, adding, subtracting, multiplying, and dividing fractions. It also covers converting between improper and mixed fractions, finding equivalent fractions, estimating fractions by rounding, and writing quantities as fractions of other amounts. The tutorial includes starter problems on decimals and worksheets for students to practice fraction skills.

FS Maths Level 2 – March 13, 2023 (Fractions-1).2

The document provides information about a math tutorial covering fractions. It discusses simplifying, adding, subtracting, multiplying, and dividing fractions. It also covers converting between improper and mixed fractions, finding equivalent fractions, estimating fractions by rounding, and writing quantities as fractions of other amounts. The tutorial includes starter problems on decimals and worksheets for students to practice fraction skills.

FS Maths Level 2 – March 13, 2023 (Fractions-1).2

The document provides information about a math tutorial covering fractions. It discusses simplifying, adding, subtracting, multiplying, and dividing fractions. It also covers converting between improper and mixed fractions, finding equivalent fractions, estimating fractions by rounding, and writing quantities as fractions of other amounts. The tutorial includes starter problems on decimals and worksheets for students to practice fraction skills.

Grade 9 Maths - Fractions 1

This document provides a review of fractions for grade 9 math students. It covers the basics of fractions including what fractions are, the parts of a fraction, different types of fractions, simplifying fractions, converting between improper and mixed numbers, comparing fractions, and example worksheet questions. Students are instructed to complete exercises in their math books covering these fraction topics.

Fractions lesson 10

This document provides an overview of multiplying fractions. It begins with a review of fractions, including the definition of a fraction as part of a whole and the meaning of the numerator and denominator. It then discusses how to multiply fractions by multiplying the numerators and denominators. Multiplying fractions means finding a fraction of a fraction. The document provides examples of multiplying fractions, mixed numbers, and cancelling common factors before multiplying. Students are given practice problems and homework assignments.

Parts and wholes notes new book 1

DOWNLOAD AND SUSCRIBE TO MY YOUTUBE CHANNEL
https://www.youtube.com/channel/UCtooWKi-qUFj5TcQcoEIWxQ

Fractions

The document discusses key concepts about fractions including:
1) Vocabulary used to describe fractions like halves, thirds, quarters, etc.
2) Fractions represent parts of a whole, with the numerator representing parts and denominator representing the whole.
3) There are three types of fractions - proper, improper, and mixed. Steps are provided for converting between improper and mixed fractions.
4) Equivalent fractions have the same value even if they look different, and simplifying reduces fractions to their simplest form.

Fractions

The document discusses fractions and how to add fractions. It defines a fraction as a number that represents a part of a whole. It explains that the number on the top of a fraction is called the numerator and represents the part, while the number on the bottom called the denominator represents the whole. When adding fractions with a common denominator, you simply add the numerators. But when denominators are different, you must find the lowest common multiple to convert the fractions to equivalent fractions with a common denominator before adding.

How can I add subtract a Rational NumberSolution .pdf

How can I add/ subtract a Rational Number?
Solution
Simplify all problems by turning fractions into decimals and minimizing operation
symbols where possible. Then you\'re just lining everything up with the decimals and doing
simple adding or subtracting. Remember the fraction is a portion of a whole number 1. Just to
clarify, Dividing the denominator (lower part) into the numerator (top part) will give you the
fraction in decimal form. In Mixed numbers, where you have a whole number and a fraction (i.e.
1 3/4) the whole number should remain unaffected in your conversion unless the numerator is
greater than the denominator (i.e. 1 5/2) thus the fraction results in a whole number to add to the
whole for your final decimal conversion. (i.e. 1 5/2 = 1+2.5 = 3.5 Here 5 divided by 2 = 2
remainder 1 which in fraction form would be 2 1/2 and 1/2 is commonly known to be .5 so 5/2 =
2.5 to add to the 1). just sharing for future help :) 1. 24.65 2. 0.875 - 1.375 = -0.5 (If you cant
use a calculator to convert this one, 7/8 - 3/8 = 4/8 which simplifys into 1/2 and then 1/2 - 1 = -
1/2. When subtracting mixed numbers, i deal with the fraction part first, the whole numbers
second, and then i combine both. In this equation the number we were subtracting was bigger
than the one we are subtracting from and there was nothing to subtract the 1 from so there was a
-1 which i subtracted from our positive 1/2) 3. -1.5 + 1.5 = 0 (changed to \"+\" because 2
negatives = a positive) 4. -0.2 5. -0.5 - 0.75 = -1.25 (little trick here, when adding 2 negatives,
ignore the negatives, add them like they are positives, and then just put a negative sign in front of
your final answer) You should be able to convert this one into a decimal without a calculator
since these are common fractions, but in case you want to do it with them still in fraction form,
still apply my trick by temporarily ignoring the negatives and play with multiples in the
denominator so that you can convert one, or both fractions if necessary, to have the same
denominator, in this case the denominator 2 is a multiple of 4 and goes into it twice, so multiply
the top and bottom of the fraction 1/2, so 2/4+3/4 = 5/4 this can still be simplified since the
numerator is greater than the denominator, so 5/4 = 1 1/4 because 4 goes into 5 one whole time
with a remainder of 1, and then throw in the negative that we had been ignoring all along, -1 1/4.

Operations with rational numbers

This document discusses rational numbers and different types of fractions including mixed numbers, improper fractions, adding, subtracting, multiplying, and dividing fractions. It explains that rational numbers are numbers that can be made by dividing one integer by another. Fractions have a numerator and denominator and can be added or subtracted by finding a common denominator. To multiply fractions, you multiply the numerators and denominators. To divide fractions, you keep the first fraction the same, change the operation to divide, and flip the second fraction to its inverse.

How to calculate fractions - Addition

This document provides instructions for using a fraction calculator to perform addition of fractions. It describes converting fractions to a common denominator, adding the numerators, and then converting the resulting improper fraction back to a mixed number. The steps involve analyzing the operation, converting fractions to improper form, finding a least common denominator, writing the fractions with the common denominator, adding the numerators, and then dividing to express the sum as a mixed number.

Study Guide For Fractions Test

The document provides a study guide for a math test on fractions. It lists 10 topics to be covered: least common multiple, lowest terms, mixed numbers, improper fractions, equivalent fractions, comparing/ordering fractions, adding/subtracting fractions, multiplying/dividing fractions, adding/subtracting mixed numbers, and multiplying/dividing mixed numbers. For each topic, it provides 1-2 paragraphs explaining key concepts and examples.

Fractions everything v2

The document was too short to summarize meaningfully in 3 sentences or less. It only contained the word "Fra" which provides no context or essential information to summarize.

Chapter 2 Study Guides

Chapter 2 Study Guides

add sub fractions.pptx

add sub fractions.pptx

Fractions

Fractions

Understanding fractions

Understanding fractions

Adding and subtracting fractions

Adding and subtracting fractions

Adding and subtracting fractions

Adding and subtracting fractions

Section 2.3 2.4 mult div rational (algebra)

Section 2.3 2.4 mult div rational (algebra)

Fractions (addition, subtraction, rounding, fraction of amounts).pptx

Fractions (addition, subtraction, rounding, fraction of amounts).pptx

FS Maths Level 2 – March 13, 2023 (Fractions-1).2

FS Maths Level 2 – March 13, 2023 (Fractions-1).2

FS Maths Level 2 – March 13, 2023 (Fractions-1).2

FS Maths Level 2 – March 13, 2023 (Fractions-1).2

Grade 9 Maths - Fractions 1

Grade 9 Maths - Fractions 1

Fractions lesson 10

Fractions lesson 10

Parts and wholes notes new book 1

Parts and wholes notes new book 1

Fractions

Fractions

Fractions

Fractions

How can I add subtract a Rational NumberSolution .pdf

How can I add subtract a Rational NumberSolution .pdf

Operations with rational numbers

Operations with rational numbers

How to calculate fractions - Addition

How to calculate fractions - Addition

Study Guide For Fractions Test

Study Guide For Fractions Test

Fractions everything v2

Fractions everything v2

Haunted Houses by H W Longfellow for class 10

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(𝐓𝐋𝐄 𝟏𝟎𝟎) (𝐋𝐞𝐬𝐬𝐨𝐧 𝟏)-𝐏𝐫𝐞𝐥𝐢𝐦𝐬
𝐃𝐢𝐬𝐜𝐮𝐬𝐬 𝐭𝐡𝐞 𝐄𝐏𝐏 𝐂𝐮𝐫𝐫𝐢𝐜𝐮𝐥𝐮𝐦 𝐢𝐧 𝐭𝐡𝐞 𝐏𝐡𝐢𝐥𝐢𝐩𝐩𝐢𝐧𝐞𝐬:
- Understand the goals and objectives of the Edukasyong Pantahanan at Pangkabuhayan (EPP) curriculum, recognizing its importance in fostering practical life skills and values among students. Students will also be able to identify the key components and subjects covered, such as agriculture, home economics, industrial arts, and information and communication technology.
𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐍𝐚𝐭𝐮𝐫𝐞 𝐚𝐧𝐝 𝐒𝐜𝐨𝐩𝐞 𝐨𝐟 𝐚𝐧 𝐄𝐧𝐭𝐫𝐞𝐩𝐫𝐞𝐧𝐞𝐮𝐫:
-Define entrepreneurship, distinguishing it from general business activities by emphasizing its focus on innovation, risk-taking, and value creation. Students will describe the characteristics and traits of successful entrepreneurs, including their roles and responsibilities, and discuss the broader economic and social impacts of entrepreneurial activities on both local and global scales.

Accounting for Restricted Grants When and How To Record Properly

In this webinar, member learned how to stay in compliance with generally accepted accounting principles (GAAP) for restricted grants.

CapTechTalks Webinar Slides June 2024 Donovan Wright.pptx

Slides from a Capitol Technology University webinar held June 20, 2024. The webinar featured Dr. Donovan Wright, presenting on the Department of Defense Digital Transformation.

BPSC-105 important questions for june term end exam

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A Visual Guide to 1 Samuel | A Tale of Two Hearts

These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.

Information and Communication Technology in Education

(𝐓𝐋𝐄 𝟏𝟎𝟎) (𝐋𝐞𝐬𝐬𝐨𝐧 2)-𝐏𝐫𝐞𝐥𝐢𝐦𝐬
𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐈𝐂𝐓 𝐢𝐧 𝐞𝐝𝐮𝐜𝐚𝐭𝐢𝐨𝐧:
Students will be able to explain the role and impact of Information and Communication Technology (ICT) in education. They will understand how ICT tools, such as computers, the internet, and educational software, enhance learning and teaching processes. By exploring various ICT applications, students will recognize how these technologies facilitate access to information, improve communication, support collaboration, and enable personalized learning experiences.
𝐃𝐢𝐬𝐜𝐮𝐬𝐬 𝐭𝐡𝐞 𝐫𝐞𝐥𝐢𝐚𝐛𝐥𝐞 𝐬𝐨𝐮𝐫𝐜𝐞𝐬 𝐨𝐧 𝐭𝐡𝐞 𝐢𝐧𝐭𝐞𝐫𝐧𝐞𝐭:
-Students will be able to discuss what constitutes reliable sources on the internet. They will learn to identify key characteristics of trustworthy information, such as credibility, accuracy, and authority. By examining different types of online sources, students will develop skills to evaluate the reliability of websites and content, ensuring they can distinguish between reputable information and misinformation.

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A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!

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Virtual University

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- 1. Adding and Subtracting Fractions with like Denominators
- 2. What the heck is a numerator and denominator? Fractions are made of two parts; the numerator and denominator. The numerator is the number on top of the fraction. The denominator is the number on the bottom of the fraction.
- 3. How do I add fractions with the same denominator? To add or subtract fractions the denominators, or bottom numbers, must be the same.
- 4. Then… You simply add the numerators, or top numbers, and keep the denominators the same.
- 5. Practice on your white board 1. 2. 3.
- 6. Now put into simplest or reduced form Simplest or reduced form means that a number is reduced
- 7. Let’s practice! We’re going to add:3/6 + 1/6 Are the denominators the same? Add the numerators, keep the denominator. You should have gotten 4/6 Do you think we can reduce 4/6? Yes!
- 8. Now let’s reduce! First, we have to factor our numerator and denominator. 4: the factors of 4 are…1,2,4 6: the factors of 6 are…1,2,3,6 Which number in the two list is the Greatest Common Factor (GFC) 2
- 9. Finish reducing Now that we’ve figured out the GFC, divide the numerator and denominator by the GFC 2= 2 2 = 3 Our reduced fraction is now 2/3
- 10. Mixed Numbers and Improper Fractions Sometimes when we add fractions we get an improper fraction as our sum:
- 11. How to turn an improper fraction into a mixed number…it’s so easy! 23/3 is an improper fraction To make it a mixed number you simply have to divide the numerator, top number, by the denominator, bottom number. 23 3= 7 R 2 7 is your whole number, 2 becomes your numerator and 3 stays are your denominator.
- 12. Now you try! Turn each improper fraction into a mixed number 15/2 22/7 9/2 Answers… 7 ½ 3 1/7 4 ½