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PDSThe document discusses fractions, including finding the least common multiple (LCM) and least common denominator (LCD) of fractions. It provides examples of calculating the LCM and LCD of groups of fractions. It also covers comparing fractions by changing their denominators to the LCM or LCD, ordering fractions from least to greatest, and changing fractions to percentages.
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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.
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.
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The document contains instructions and examples for comparing fractions using the least common denominator (LCD) method. It explains how to find the LCD and write fractions with a common denominator to allow for direct comparison. Examples are provided for comparing proper, improper and mixed fractions. Students are given practice problems to order fractions from least to greatest.
Adding And Subtracting Fraction Notes For Web
To add or subtract fractions with like denominators, add or subtract the numerators and keep the same denominators, simplifying the resulting fraction if needed. There are two types of fractions: proper fractions where the numerator is smaller than the denominator, and improper fractions where the numerator is greater than or equal to the denominator. For improper fractions, the answer must be simplified by dividing.
All about fractions
Fractions represent parts of a whole that is divided into equal parts. They have a numerator and denominator where the numerator is the top number representing the parts and the denominator is the bottom number representing the total parts the whole was divided into. Fractions can be simplified by dividing the numerator and denominator by their greatest common factor. Unlike fractions have different denominators and must be converted to equivalent fractions with a common denominator to add or subtract them. Mixed numbers represent an integer plus a fraction.
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
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This document discusses various inequality symbols and their meanings, including greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤). It provides examples of inequalities such as x + 5 > 9, 2x - 5 < 5, 5y - (-7) < -13, 6x - 1 > 35, and - 7v > 49. It notes that whenever an inequality is multiplied or divided by a negative number, the direction of the inequality sign must be changed.
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http://bit.ly/1LTzAo6
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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.
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.
4.5 comparing fractions updated
The document contains instructions and examples for comparing fractions using the least common denominator (LCD) method. It explains how to find the LCD and write fractions with a common denominator to allow for direct comparison. Examples are provided for comparing proper, improper and mixed fractions. Students are given practice problems to order fractions from least to greatest.
Adding And Subtracting Fraction Notes For Web
To add or subtract fractions with like denominators, add or subtract the numerators and keep the same denominators, simplifying the resulting fraction if needed. There are two types of fractions: proper fractions where the numerator is smaller than the denominator, and improper fractions where the numerator is greater than or equal to the denominator. For improper fractions, the answer must be simplified by dividing.
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Fractions represent parts of a whole that is divided into equal parts. They have a numerator and denominator where the numerator is the top number representing the parts and the denominator is the bottom number representing the total parts the whole was divided into. Fractions can be simplified by dividing the numerator and denominator by their greatest common factor. Unlike fractions have different denominators and must be converted to equivalent fractions with a common denominator to add or subtract them. Mixed numbers represent an integer plus a fraction.
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
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This document discusses various inequality symbols and their meanings, including greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤). It provides examples of inequalities such as x + 5 > 9, 2x - 5 < 5, 5y - (-7) < -13, 6x - 1 > 35, and - 7v > 49. It notes that whenever an inequality is multiplied or divided by a negative number, the direction of the inequality sign must be changed.
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2. For mixed numbers, you first change the mixed number to an improper fraction before dividing. Then cancel down and change back to a mixed number if needed.
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To multiply fractions:
1. Multiply the numerators together.
2. Multiply the denominators together.
3. Simplify if possible.
To divide fractions:
1. Invert the second fraction.
2. Multiply the first fraction by the inverted second fraction.
3. Simplify if possible.
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- Dividing fractions can be made easier using the "keep, change, reciprocal" method: keep the first fraction, change division to multiplication, and take the reciprocal of the second fraction.
- Simplifying fractions, such as cross reducing when multiplying, is recommended to make the math easier. Reciprocals and dividing fractions using models are also explained.
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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.
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1) Find the least common denominator of the fractions.
2) Convert the fractions to equivalent fractions with this common denominator.
3) Perform the addition or subtraction and simplify if possible.
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The document is a menu for a math quiz game that lists various math categories and points values for questions. It includes categories like lowest terms, adding/subtracting fractions, multiplying/dividing fractions, ordering fractions, and changing fractions to mixed numbers or improper fractions. The menu allows the user to choose a category to begin the quiz game.
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To multiply fractions:
1. Multiply the numerators together.
2. Multiply the denominators together.
3. Simplify if possible.
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1. Invert the second fraction.
2. Multiply the first fraction by the inverted second fraction.
3. Simplify if possible.
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This document provides examples and instructions for multiplying fractions. It shows example fraction multiplication problems and their solutions. It then explains that to multiply two fractions, you multiply the numerators and multiply the denominators, simplifying the resulting fraction if necessary. Finally, it provides practice problems for the reader to try multiplying fractions on their own.
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The document provides instructions for multiplying fractions in 4 steps:
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1) This document provides instructions on multiplying and dividing fractions. It explains how to multiply and divide fractions by multiplying or dividing their numerators and denominators.
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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.
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A fraction represents a part of a whole or number and is written as p/q, where p is the numerator and q is the denominator. There are several types of fractions: proper fractions have a numerator smaller than the denominator, improper fractions have a larger numerator, and mixed fractions include a whole number part and a proper fraction part. Fractions can be added, subtracted, multiplied, and divided by following specific rules such as finding a common denominator before adding or subtracting and multiplying/dividing the numerators and denominators.
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This document provides a review of multiplying and dividing fractions. It discusses several key points:
- When multiplying or dividing fractions, change any mixed numbers into improper fractions and simplify the answer.
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- Dividing fractions can be made easier using the "keep, change, reciprocal" method: keep the first fraction, change division to multiplication, and take the reciprocal of the second fraction.
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The document provides steps to order fractions and mixed numbers from least to greatest. It reviews finding the LCM of denominators to determine the LCD. It shows setting up new denominators using the LCD and finding equivalent fractions using "the rule". The example problem walks through ordering the fractions 1/2, 5/8, 3/4 by finding the LCM of the denominators, setting up new denominators, finding equivalent fractions, and determining the order is 1/2, 3/4, 5/8 from least to greatest.
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The document provides steps to order fractions and mixed numbers from least to greatest. It reviews finding the LCM of denominators to determine the LCD. It shows setting up new denominators using the LCD and finding equivalent fractions using "the rule". The example problem walks through ordering the fractions 1/2, 5/8, 3/4 by finding the LCM of the denominators, setting up new denominators, finding equivalent fractions, and determining the order from least to greatest.
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Finds the common multiples and the least common demo teach
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