Fractions Class 7 Maths
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The document outlines an agenda for a lesson on fractions that includes defining fractions and their types, methods for conversion between improper, mixed and proper fractions, finding simplest and irreducible forms, and a quiz. Key topics are fractions as parts of a whole, proper, improper, mixed and equivalent fractions, algorithms for conversion between fraction types, and identifying simplest and irreducible fractions. A brain booster, examples, and opportunities for student questions are also included.
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Fractions
The document discusses key topics about fractions including:
1. The agenda covers fractions, their types, conversions between mixed and improper fractions, quizzes, and homework.
2. Fractions are parts of a whole, such as one-fifth or half. There are proper, improper, mixed, like, and unlike fractions.
3. Converting mixed to improper fractions involves writing the whole number as the numerator, multiplying it by the denominator, and adding the remaining fractional part.
fractions
This presentation teaches how to perform operations on fractions, including adding, subtracting, multiplying, and dividing fractions. It explains the key rules for each operation, such as having a common denominator to add or subtract fractions, multiplying the tops and bottoms to multiply fractions, and turning the second fraction upside down and changing division to multiplication for dividing fractions. It also covers how to find common denominators, such as multiplying the denominators together and adjusting the numerators proportionally.
How to add and multiply fractions
This tutorial provides step-by-step instructions for adding and multiplying fractions. It begins with an overview and then covers finding common denominators when adding fractions, adding fractions with unlike denominators by finding the least common denominator, and multiplying fractions. Learners work through examples of adding and multiplying fractions with guidance and then independently practice solving fractional equations.
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.
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
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.
Problem 1
This document provides steps to solve the equation -|-3|=. Step 1 is to take the absolute value of -3, which is 3. Step 2 is to distribute the negative sign to the absolute value answer of 3, making the overall solution to the equation -3.
Problem 1
This document provides steps to solve the absolute value problem -|-3|=. Step 1 is to solve the absolute value of -3, which is 3. Step 2 is to distribute the negative sign to the absolute value answer of 3, making the overall solution -3.
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Fractions
The document discusses key topics about fractions including:
1. The agenda covers fractions, their types, conversions between mixed and improper fractions, quizzes, and homework.
2. Fractions are parts of a whole, such as one-fifth or half. There are proper, improper, mixed, like, and unlike fractions.
3. Converting mixed to improper fractions involves writing the whole number as the numerator, multiplying it by the denominator, and adding the remaining fractional part.
fractions
This presentation teaches how to perform operations on fractions, including adding, subtracting, multiplying, and dividing fractions. It explains the key rules for each operation, such as having a common denominator to add or subtract fractions, multiplying the tops and bottoms to multiply fractions, and turning the second fraction upside down and changing division to multiplication for dividing fractions. It also covers how to find common denominators, such as multiplying the denominators together and adjusting the numerators proportionally.
How to add and multiply fractions
This tutorial provides step-by-step instructions for adding and multiplying fractions. It begins with an overview and then covers finding common denominators when adding fractions, adding fractions with unlike denominators by finding the least common denominator, and multiplying fractions. Learners work through examples of adding and multiplying fractions with guidance and then independently practice solving fractional equations.
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.
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
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.
Problem 1
This document provides steps to solve the equation -|-3|=. Step 1 is to take the absolute value of -3, which is 3. Step 2 is to distribute the negative sign to the absolute value answer of 3, making the overall solution to the equation -3.
Problem 1
This document provides steps to solve the absolute value problem -|-3|=. Step 1 is to solve the absolute value of -3, which is 3. Step 2 is to distribute the negative sign to the absolute value answer of 3, making the overall solution -3.
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The document provides instructions and examples for adding, subtracting, multiplying, and dividing fractions. It explains how to find a common denominator when adding or subtracting fractions, how to convert mixed numbers to improper fractions before performing operations, and how to simplify fractions by finding common factors. Examples are given for multiplying fractions by multiplying numerators and denominators, as well as dividing fractions by changing the division to multiplication of the first fraction and the reciprocal of the second fraction.
Operations fractions
This document provides instructions for performing basic operations with fractions, including adding, subtracting, multiplying, and dividing fractions. It explains the steps for each operation: (1) For addition and subtraction, convert fractions to a common denominator before adding or subtracting the numerators; (2) For multiplication, multiply the numerators and denominators separately; (3) For division, invert the second fraction and multiply. Worked examples are provided to illustrate each type of fraction operation.
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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.
Dividing Fractions
To divide fractions, rewrite the division problem as a multiplication problem by flipping, or making reciprocal, the second fraction. This turns the division into multiplication where you multiply the tops and multiply the bottoms. The document provides an example of dividing two fractions by rewriting it as a multiplication problem and then simplifying to show it follows the same process as multiplying fractions.
Adding fractions with Unlike denomintors
To add fractions, you must first find the least common denominator (LCD) and rewrite the fractions with that denominator. Then, add the numerators and put the sum over the common denominator. For example, to add 6/7 + 1/2:
1) The LCD is 14
2) Rewrite as 12/14 + 7/14
3) Add the numerators: 12 + 7 = 19
4) Write the sum over the LCD: 19/14
5) Simplify the resulting improper fraction to get the final answer of 1 5/14.
Adding And Subtracting Fractions With Different Denominators
This document discusses how to add and subtract fractions with different denominators. It explains that to add or subtract fractions, you first need to find the common denominator by listing all factors of each denominator. Then the fractions are converted to equivalent fractions with the common denominator before adding or subtracting the numerators. Finally, any improper fractions are converted to mixed numbers.
Add fractions like_den
Fractions with like denominators can be added or subtracted by adding or subtracting the numerators and keeping the same denominator. The resulting fraction may need to be simplified by reducing if possible or changed to a mixed number if improper.
Fractions
The document defines key terms related to fractions such as numerator, denominator, improper fraction, proper fraction, and equivalent fractions. It provides examples of how to read fractions such as 1/2, 1/3, 1/4, and discusses that fractions represent parts of a whole. Fractions can also represent division of numbers as either terminating or recurring decimals.
Adding, subtracting, multiplying, and dividing fractions
The document provides instructions for performing the four basic arithmetic operations (addition, subtraction, multiplication, and division) on fractions. For each operation, it explains the key steps, such as finding a common denominator for addition and subtraction, and "flipping and multiplying" for division. Examples are given to illustrate each procedure. The document emphasizes important rules like multiplying corresponding numerator and denominator terms when operating on fractions.
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This powerpoint explains and demonstrates the distinct procedures for adding and subtracting fractions, or for multiplying and dividing them.
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.
Adding Fraction
To add fractions, there are three steps: 1) Make the denominators the same by finding the least common denominator, 2) Add the numerators and keep the denominator the same, 3) Simplify the fraction if possible. The document then explains how to find the least common denominator by multiplying the individual denominators together. It also discusses how to add mixed fractions by first converting them to improper fractions, then adding the numerators and keeping the denominator the same, and finally converting back to a mixed fraction.
Dividing fractions and Mixed numbers!
Fraction division is the opposite of fraction multiplication. To divide fractions, invert the second fraction and multiply. The steps are to change any whole numbers or mixed numbers to improper fractions, invert the divisor fraction, and multiply the numerators and denominators. Division is not commutative like multiplication, so the order of the fractions matters in word problems involving splitting, sharing, or grouping items.
Adding and subtracting fractions with like denominators
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
M & d fractions
This document provides instructions and examples for multiplying and dividing fractions. It explains that when multiplying fractions, you change any mixed numbers to improper fractions, cross cancel where possible, and multiply horizontally. When dividing fractions, you keep the first fraction, switch the division sign to multiplication, flip the second fraction, cross cancel where possible, and multiply horizontally. It then gives examples of multiplying fractions like 1/2 x 1/4 = 1/8 and dividing fractions like 3 1/2 / 1 3/4 = 2 1/2 using these methods. The document concludes with a quiz and answers to check understanding of dividing fractions.
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.
Adding And Subtracting Fractions
The document discusses methods for adding and subtracting fractions using the Criss-Cross Smiley Face method. It provides examples of adding and subtracting both positive and negative numbers. It then has a skills review section with questions about adding, subtracting and multiplying positive and negative numbers. The final sections provide practice problems for students to apply the Criss-Cross Smiley Face method for adding and subtracting fractions.
Cross Reducing
This document describes a shortcut method called cross-division for simplifying fractions. The method involves dividing the numerator and denominator of a fraction by common factors across the multiplication problem, rather than multiplying fully first. Two examples are provided where the fractions 15/10 and 6/2 are simplified using this cross-division approach.
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.
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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.
Francesca
A fraction represents a part of a whole or group. The numerator tells how many parts are being used, and the denominator says how many equal parts make up the whole. To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a fraction, use the place value of the decimal as the denominator and the whole number as the numerator. When adding or subtracting fractions, find a common denominator to write equivalent fractions with the same denominator before combining numerators. Multiplying fractions is done by multiplying the numerators and denominators, while dividing fractions uses the reciprocal of the divisor to write the problem as a multiplication.
Fractions - [Autosaved].pptx
This document provides information about fractions including:
- The parts of a fraction (numerator and denominator)
- Types of fractions such as proper, improper, equivalent, unit fractions and mixed numbers
- Converting between improper fractions and mixed numbers
- Fractions can represent division problems
- Adding and subtracting like and unlike fractions
- Finding equivalent fractions by multiplying or dividing the numerator and denominator by the same number
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This document provides instructions for performing basic operations with fractions, including adding, subtracting, multiplying, and dividing fractions. It explains the steps for each operation: (1) For addition and subtraction, convert fractions to a common denominator before adding or subtracting the numerators; (2) For multiplication, multiply the numerators and denominators separately; (3) For division, invert the second fraction and multiply. Worked examples are provided to illustrate each type of fraction operation.
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To divide fractions, rewrite the division problem as a multiplication problem by flipping, or making reciprocal, the second fraction. This turns the division into multiplication where you multiply the tops and multiply the bottoms. The document provides an example of dividing two fractions by rewriting it as a multiplication problem and then simplifying to show it follows the same process as multiplying fractions.
Adding fractions with Unlike denomintors
To add fractions, you must first find the least common denominator (LCD) and rewrite the fractions with that denominator. Then, add the numerators and put the sum over the common denominator. For example, to add 6/7 + 1/2:
1) The LCD is 14
2) Rewrite as 12/14 + 7/14
3) Add the numerators: 12 + 7 = 19
4) Write the sum over the LCD: 19/14
5) Simplify the resulting improper fraction to get the final answer of 1 5/14.
Adding And Subtracting Fractions With Different Denominators
This document discusses how to add and subtract fractions with different denominators. It explains that to add or subtract fractions, you first need to find the common denominator by listing all factors of each denominator. Then the fractions are converted to equivalent fractions with the common denominator before adding or subtracting the numerators. Finally, any improper fractions are converted to mixed numbers.
Add fractions like_den
Fractions with like denominators can be added or subtracted by adding or subtracting the numerators and keeping the same denominator. The resulting fraction may need to be simplified by reducing if possible or changed to a mixed number if improper.
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The document defines key terms related to fractions such as numerator, denominator, improper fraction, proper fraction, and equivalent fractions. It provides examples of how to read fractions such as 1/2, 1/3, 1/4, and discusses that fractions represent parts of a whole. Fractions can also represent division of numbers as either terminating or recurring decimals.
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The document provides instructions for performing the four basic arithmetic operations (addition, subtraction, multiplication, and division) on fractions. For each operation, it explains the key steps, such as finding a common denominator for addition and subtraction, and "flipping and multiplying" for division. Examples are given to illustrate each procedure. The document emphasizes important rules like multiplying corresponding numerator and denominator terms when operating on fractions.
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This powerpoint explains and demonstrates the distinct procedures for adding and subtracting fractions, or for multiplying and dividing them.
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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.
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To add fractions, there are three steps: 1) Make the denominators the same by finding the least common denominator, 2) Add the numerators and keep the denominator the same, 3) Simplify the fraction if possible. The document then explains how to find the least common denominator by multiplying the individual denominators together. It also discusses how to add mixed fractions by first converting them to improper fractions, then adding the numerators and keeping the denominator the same, and finally converting back to a mixed fraction.
Dividing fractions and Mixed numbers!
Fraction division is the opposite of fraction multiplication. To divide fractions, invert the second fraction and multiply. The steps are to change any whole numbers or mixed numbers to improper fractions, invert the divisor fraction, and multiply the numerators and denominators. Division is not commutative like multiplication, so the order of the fractions matters in word problems involving splitting, sharing, or grouping items.
Adding and subtracting fractions with like denominators
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
M & d fractions
This document provides instructions and examples for multiplying and dividing fractions. It explains that when multiplying fractions, you change any mixed numbers to improper fractions, cross cancel where possible, and multiply horizontally. When dividing fractions, you keep the first fraction, switch the division sign to multiplication, flip the second fraction, cross cancel where possible, and multiply horizontally. It then gives examples of multiplying fractions like 1/2 x 1/4 = 1/8 and dividing fractions like 3 1/2 / 1 3/4 = 2 1/2 using these methods. The document concludes with a quiz and answers to check understanding of dividing fractions.
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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.
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The document discusses methods for adding and subtracting fractions using the Criss-Cross Smiley Face method. It provides examples of adding and subtracting both positive and negative numbers. It then has a skills review section with questions about adding, subtracting and multiplying positive and negative numbers. The final sections provide practice problems for students to apply the Criss-Cross Smiley Face method for adding and subtracting fractions.
Cross Reducing
This document describes a shortcut method called cross-division for simplifying fractions. The method involves dividing the numerator and denominator of a fraction by common factors across the multiplication problem, rather than multiplying fully first. Two examples are provided where the fractions 15/10 and 6/2 are simplified using this cross-division approach.
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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.
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A fraction represents a part of a whole or group. The numerator tells how many parts are being used, and the denominator says how many equal parts make up the whole. To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a fraction, use the place value of the decimal as the denominator and the whole number as the numerator. When adding or subtracting fractions, find a common denominator to write equivalent fractions with the same denominator before combining numerators. Multiplying fractions is done by multiplying the numerators and denominators, while dividing fractions uses the reciprocal of the divisor to write the problem as a multiplication.
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- Types of fractions such as proper, improper, equivalent, unit fractions and mixed numbers
- Converting between improper fractions and mixed numbers
- Fractions can represent division problems
- Adding and subtracting like and unlike fractions
- Finding equivalent fractions by multiplying or dividing the numerator and denominator by the same number
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This document discusses physical and chemical changes and provides examples of different types of changes. It explains that changes can be useful and occur everywhere, some are faster or not easily detectable. Examples of changes include water turning to ice, flooded roads drying, night becoming day, rusting of iron, milk becoming curd, seeds growing into saplings. Changes can be categorized as slow or fast, natural or man-made, periodic or non-periodic, desirable or undesirable, reversible or irreversible, and physical or chemical.
Plateaus
A plateau is a broad area of elevated land that is flat or gently rolling, with one or more sides located significantly above the surrounding area. There are several types of plateaus, including intermontane plateaus between mountain ranges, dissected plateaus with deep valleys, and piedmont plateaus bounded by mountains on one side and lowlands on the other. Plateaus can form through volcanic eruption or uplift and are often rich in minerals, though their surfaces may be unsuitable for agriculture except where soil fertility allows farming. Examples of large plateaus include the Deccan Plateau in India and the Tibetan Plateau between the Himalayas and Kunlun Mountains.
The Lake Isle of Innisfree - IV
The document is a collection of notes from an English composition notebook belonging to a student named Anlin Cherishma. It includes notes on the structure of an essay, interpreting poetry subjectively, lines from the poem "The Lake Isle of Innisfree" by William Butler Yeats, and answers to questions about the poem. The notebook reflects on finding peace during stressful times and analyzing poetic language and themes in the poem.
The Lake Isle of Innisfree - IV
The document is a summary of a poem titled "The Lake Isle of Innisfree" by William Butler Yeats. It discusses several lines from the poem and their meanings. Specifically, it explains that the lines "for peace comes dropping slow, dropping from the veils of/The morning to where the cricket sings” refer to how peace slowly descends upon the poet as the early morning mist descends upon the Earth. It also asks and answers several questions about what the poet wishes to do, how he imagines life being, and why he wants to go to Innisfree.
7th ratio and proportion
Ratios are used to compare quantities of the same kind through division. They are commonly used in mixing cement and sand, idly batter, juice, and proportions in the human body. A ratio expresses the quantitative relation between two amounts showing how many times one value contains or is contained within the other. It can be written as a fraction in simplest form.
7th ratio and proportion
Ratio is a comparison of two or more quantities of the same kind through division. It is commonly used in real life examples such as mixing cement and sand, idly batter, juice, and proportions in the human body. A ratio can be expressed as a fraction and is used to compare quantities in everyday life such as lengths and breadths of a house.
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- 1. AGENDA Puzzle Motivation Fraction & its types Conversion Quiz Overall view Queries Homework
- 3. FRACTIO N Fraction is a part of the whole Example: One-fifth, Half, Two-third
- 4. WHICH IS EASY WAY? NUMERICAL 1/5 DIAGRAM WORDS ONE- FIFTH
- 5. DIAGRAM
- 6. TYPES OF FRACTIO N 1. Proper fraction 2. Improper fraction 3. Mixed fraction 4. Like fraction 5. Unlike fraction 6. Equivalent fraction
- 8. CONVERSIO N OF MIXED TO IMPROPER FRACTION Write Write answer from Step 2 over the denominator. Add Add the answer from Step 1 to the numerator. Multiply Multiply the whole number by the denominator.
- 9. CONVERSATI ON OF IMPROPER FRACTION TO MIXED FRACTION Divide the numerator by the denominator. Write down the whole number answer. Then write down any remainder above the denominator
- 10. SIMPLEST FORM FRACTION IS IN SIMPLEST FORM WHEN THE TOP AND BOTTOM CANNOT BE ANY SMALLER, WHILE STILL BEING WHOLE NUMBERS. EXAMPLE: 2/4 CAN BE SIMPLIFIED TO 1/2
- 12. IRREDUCIBL E FORM Which cannot be reduced by any number. Example: 2/3,17/19
- 13. QUIZ 1.what is fraction? 2.what are the types of fractions? 3.how will you convert mixed to improper fraction? 4.how will you convert improper to mixed fraction? 5.what is simplest form? 6.give one example for irreducible fraction? 7.Real life example for fraction?
- 14. QUERIES????