2.1 definition of fraction
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This document provides an introduction to fractions. It defines the numerator as the number on top of the fraction bar and the denominator as the number on the bottom. Examples are given showing different fractions represented visually using circles, balls, rectangles, and other objects. The document asks questions about identifying the numerator and denominator in fractions and determining what fraction of various objects are a certain color, have a certain feature, or meet a certain criteria.
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Fractions i
This document discusses fractions and their parts including the numerator and denominator. It provides examples of identifying the numerator and denominator in fractions like 3/4 and determining what fraction of different objects are shaded purple in pictures, such as 3/4 of a pie or 2/5 of musical instruments. It ends by crediting the clipart source.
Fraction
A fraction represents an equal part of a whole. The denominator tells the total number of equal parts the whole is divided into, while the numerator tells how many of those parts are being considered. Equivalent fractions have the same value even if their numerators and denominators are different. Examples help illustrate fractions and their relationships.
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This document provides a lesson on equivalent fractions. It explains that two fractions are equivalent if they represent the same amount or portion. For fractions to be equivalent, the same operation must be applied to both the numerator and denominator. Some examples are provided of determining if fractions are equivalent by dividing or multiplying both terms by the same number. Strategies for identifying equivalent fractions involve looking at relationships between the numerator and denominator and applying the same operations to both terms.
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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.
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This document provides an overview of fractions. It defines a fraction as a number that is not a whole number but part of a whole. Fractions have a numerator and denominator, with the numerator on top and denominator on bottom. The document describes different types of fractions such as proper, improper, and mixed numbers. It provides examples of how fractions are used in everyday situations like measuring ingredients. The objectives are to understand fractions, their components, types, and how to write them in word form.
Fractions
The document discusses fractions including parts of a fraction like the numerator and denominator. It provides examples of identifying the numerator and denominator in fractions like 3/4. It also gives examples of determining what fraction of different objects are a given color, like determining that 3/4 of a pie is purple or 2/5 of musical instruments have strings.
CLASS V MATHS FRACTIONS
This document provides information about fractions including:
- Examples of fractions like 1/2, 1/4, 1/3 that represent portions of a whole divided into equal parts.
- Proper fractions have numerators less than denominators while improper fractions have numerators greater than or equal to denominators.
- Mixed numbers represent improper fractions written as a whole number and proper fraction like 1 1/2.
- Unit fractions have a numerator of 1.
- Fractions can be like or unlike depending on if they share the same denominator.
- Examples are provided of dividing shapes and quantities into fractional parts.
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This document discusses fractions and their parts including the numerator and denominator. It provides examples of identifying the numerator and denominator in fractions like 3/4 and determining what fraction of different objects are shaded purple in pictures, such as 3/4 of a pie or 2/5 of musical instruments. It ends by crediting the clipart source.
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A fraction represents an equal part of a whole. The denominator tells the total number of equal parts the whole is divided into, while the numerator tells how many of those parts are being considered. Equivalent fractions have the same value even if their numerators and denominators are different. Examples help illustrate fractions and their relationships.
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This document provides a lesson on equivalent fractions. It explains that two fractions are equivalent if they represent the same amount or portion. For fractions to be equivalent, the same operation must be applied to both the numerator and denominator. Some examples are provided of determining if fractions are equivalent by dividing or multiplying both terms by the same number. Strategies for identifying equivalent fractions involve looking at relationships between the numerator and denominator and applying the same operations to both terms.
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This document provides an overview of fractions. It defines a fraction as a number that is not a whole number but part of a whole. Fractions have a numerator and denominator, with the numerator on top and denominator on bottom. The document describes different types of fractions such as proper, improper, and mixed numbers. It provides examples of how fractions are used in everyday situations like measuring ingredients. The objectives are to understand fractions, their components, types, and how to write them in word form.
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The document discusses fractions including parts of a fraction like the numerator and denominator. It provides examples of identifying the numerator and denominator in fractions like 3/4. It also gives examples of determining what fraction of different objects are a given color, like determining that 3/4 of a pie is purple or 2/5 of musical instruments have strings.
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This document provides information about fractions including:
- Examples of fractions like 1/2, 1/4, 1/3 that represent portions of a whole divided into equal parts.
- Proper fractions have numerators less than denominators while improper fractions have numerators greater than or equal to denominators.
- Mixed numbers represent improper fractions written as a whole number and proper fraction like 1 1/2.
- Unit fractions have a numerator of 1.
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- Subtracting fractions uses the same process of finding a common denominator before subtracting the numerators.
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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.
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This document discusses fractions and their parts. It defines a fraction as the number of parts being divided by the total number of parts that equal a whole. It identifies the numerator and denominator of fractions and provides examples of identifying them in fractions written out. It also gives examples of identifying the fractional amounts of different objects, such as balls, rectangles, and musical instruments.
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This document discusses fractions and their parts including the numerator and denominator. It provides examples of identifying the numerator and denominator in fractions like 3/4 and determining what fraction of different objects are shaded purple in pictures, such as 3/4 of a pie or 2/5 of musical instruments. It ends by crediting the clipart source.
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The document provides instructions for performing basic operations on fractions:
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The document discusses how to reduce fractions to their simplest form by finding common factors between the numerator and denominator. It explains that to simplify a fraction, you divide both the numerator and denominator by any number that divides into both. Examples show reducing 3/6 to 1/2 and 6/10 to 3/5. It emphasizes the importance of reducing fractions all the way to their lowest form by finding the highest common factor.
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The document provides steps to find the nth rule for a linear sequence. It uses the sequence 5, 8, 11, 14, 17 to:
1) Make a table with the terms and their position (n).
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The document provides an introduction to fractions. It defines a fraction as the ratio of two whole numbers, with the top number called the numerator and the bottom number called the denominator. It explains that a fraction is proper if the numerator is smaller than the denominator, and improper if the numerator is equal to or larger than the denominator. It also discusses equivalent fractions and how two fractions are equivalent if you can find a whole number that divides the numerator and denominator of one fraction to give the other fraction.
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2) It provides examples of how 1/2 is equivalent to 2/4 because both represent one of two equal parts of a whole.
3) The key to finding equivalent fractions is to divide both the numerator and denominator by a common factor to simplify the fraction into equivalent lower terms.
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The document explains how to find the nth term or general rule of a sequence. It provides examples of finding the nth term by multiplying the term number by the coefficient in the general rule and adding or subtracting the constant. It then gives practice problems involving finding the nth term, specific terms of sequences, and writing out the first few terms of sequences.
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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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The document discusses factors, multiples, and divisibility of numbers. It defines a number as being divisible by another if the quotient is a whole number with no remainder. A multiple is the product of a number and any whole number greater than zero. A factor is a number that divides another number with no remainder. It provides examples showing 20 is divisible by 4 and 4 is a factor of 20. It also states 15 is a multiple of 3 and 5. Divisibility rules are outlined for numbers being divisible by 2, 3, 4, 5, 6, 9, and 10.
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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.
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The overall purpose is to review fraction concepts and provide examples and explanations of how to work with different fraction types and operations.
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This document provides rules and examples for adding and subtracting decimals. The four rules are: (1) line up numbers by the decimal point, (2) annex zeros to make all numbers have the same number of decimal places, (3) add or subtract starting from the right side, and (4) bring the decimal point down in the answer from the placement in the problem. Examples are provided applying these rules to add 48.6, 27.35, and 12.394 and to subtract 67.5 and 32.67.
2.1 fractions, decimals, and percents
This document discusses fractions, decimals, and percents and how they relate to parts of a whole. It provides examples of converting between fractions, decimals, and percents. It also discusses using percents to calculate commissions, sales tax, income tax withholding, interest, discounts, and markups. Percents are commonly used to represent parts of quantities, ratios, and in many financial calculations involving money. Being able to understand and convert between fraction, decimal, and percent representations is important for solving real-world problems.
2.2 multply and divide mixed numbers 3
The document discusses multiplying and dividing mixed numbers. It states that multiplying mixed numbers in their original form requires four multiplications, but it is usually easier to first convert them to improper fractions. It provides examples of multiplying and dividing mixed numbers step-by-step, reducing terms and dividing out common factors. It also shows evaluating a mixed number expression by distributing and then simplifying.
2.2 add and sub fractions mixed fractions
This document discusses adding and subtracting fractions and mixed numbers. It provides examples of how to:
- Add and subtract fractions with like denominators by adding/subtracting the numerators and keeping the same denominator.
- Add and subtract fractions with unlike denominators by finding the least common multiple to make equivalent fractions before adding/subtracting the numerators.
- Solve word problems involving adding and subtracting fractions and mixed numbers.
2.1 comparing & ordering fractions
This document provides instructions for comparing and ordering fractions using different methods:
- Drawing a picture or using the "butterfly" method to compare fractions less than, greater than, or equal to each other
- Finding the least common denominator (LCD) to order fractions from least to greatest, which involves expressing the fractions with the same denominator and then comparing their numerators
- Using the LCD method involves finding the lowest common multiple of the denominators as the LCD, writing the fractions with this equivalent denominator, and then ordering the fractions by comparing their numerators from greatest to least
2.1 mixed fractions
This document discusses mixed numbers and improper fractions. It defines a mixed number as having a whole number part and fractional part, and an improper fraction as having a numerator larger than the denominator. It provides examples of changing between mixed numbers and improper fractions by multiplying the whole number by the denominator and adding the numerator, or dividing the numerator by the denominator and keeping the remainder over the denominator.
2.1 equivalent fraction
This document discusses making equivalent fractions by multiplying the numerator and denominator of a fraction by the same number. This does not change the value of the fraction because it is equivalent to multiplying by one. Examples are provided of filling in missing numerators to make fractions equivalent to the original when the denominator is changed. The purpose of making equivalent fractions is to allow for adding and subtracting fractions.
Gcf and lcm 1
The document discusses the greatest common factor (GCF) and least common multiple (LCM). It defines the GCF as the largest number that divides evenly into two or more numbers. The LCM is defined as the smallest number that is a multiple of two or more numbers. A step-by-step ladder method is provided to calculate the GCF and LCM of two numbers by repeatedly dividing the numbers by the greatest common factor and multiplying the results.
Gcf and lcm 1
The document discusses the greatest common factor (GCF) and least common multiple (LCM). It defines the GCF as the largest number that divides evenly into two or more numbers. The LCM is defined as the smallest number that is a multiple of two or more numbers. A step-by-step ladder method is provided to calculate the GCF and LCM of two numbers by writing them in a long L shape and repeatedly dividing the numbers by the greatest common factor until no further divisions are possible.
Comparing and ordering integers
An integer is a whole number that can be positive or negative, including numbers like 12, -10, and -30,843. Fractions and decimals are rational numbers, not integers. Integers are plotted on a number line and can be ordered from least to greatest or greatest to least. The absolute value of a number represents its distance from zero on the number line and is always positive.
Comparing and ordering integers
An integer is a whole number that can be positive or negative, including numbers like 12, -10, and -30,843. Fractions and decimals are rational numbers, not integers. Integers are plotted on a number line and can be ordered from least to greatest or greatest to least. The absolute value of a number represents its distance from zero on the number line and is always positive.
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A Prime Location
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2.1 definition of fraction
- 1. Math FlashMath Flash Fractions IFractions I By Monica YuskaitisBy Monica Yuskaitis
- 2. Parts of a FractionParts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole
- 3. Parts of a FractionParts of a Fraction 3 4 = numerator = denominator
- 4. Which number is circled?Which number is circled? 3 4 = denominator
- 5. Which number is circled?Which number is circled? 3 4 = numerator
- 6. ¾ looks like¾ looks like 1/43 4 1/4 1/4
- 7. ¾ looks like¾ looks like 1/4 3 4 1/4 1/4
- 8. ¾ looks like¾ looks like 3 4 1/4 1/4 1/4
- 9. What fraction of the balls areWhat fraction of the balls are purple?purple? 3 4
- 10. What fraction of the balls areWhat fraction of the balls are purple?purple? 1 4
- 11. What fraction of the balls areWhat fraction of the balls are purple?purple? 1 6
- 12. What fraction of the balls areWhat fraction of the balls are purple?purple? 4 6
- 13. What fraction of the rectangle isWhat fraction of the rectangle is purple?purple? 4 6
- 14. What fraction of the rectangle isWhat fraction of the rectangle is purple?purple? 2 6
- 15. What fraction of the pie is purple?What fraction of the pie is purple? 4 4
- 16. What fraction of the pie is purple?What fraction of the pie is purple? 3 4
- 17. What fraction of the musicalWhat fraction of the musical instruments have strings?instruments have strings? 2 5
- 18. What fraction of the fish haveWhat fraction of the fish have stripes?stripes? 3 5
- 19. What fraction of the arrowsWhat fraction of the arrows hit the bullseye?hit the bullseye? 1 3
- 20. What fraction of the pins areWhat fraction of the pins are knocked down?knocked down? 3 10
- 21. CreditsCredits Clipart from “Clip Art 125,000” by T/Maker a subsidiary of Broderbund