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# Comparing Fractions

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### Comparing Fractions

1. 1. By iTutor.com T- 1-855-694-8886 Email- info@iTutor.com
2. 2. Comparing Fractions  Students need to be able to determine if two fractions are equal or if one fraction is greater or less than the other. Comparing Fractions with the Same Denominator:  If the denominators of two fractions are the same, the fraction with the largest numerator is the larger fraction. Example:- © iTutor. 2000-2013. All Rights Reserved 1 4 3 4 Both the denominators are same i.e., 4, So think about numerator, Here 1 < 3
3. 3. Comparing Fractions with the different Denominator:  Firstly you need to make them the same denominator. How to Make the Denominators the Same  The trick is to find the Least Common Multiple of the two denominators.  Then it is just a matter of changing each fraction to make it's denominator the Least Common Multiple.  Then the largest and smallest numerator is the larger and smaller fraction respectively.  Example : 2 7 or Which is larger : 3 The LCM of 3 and 6 is 6. 6 4 and 6 4 It is now easy to see that 6 So, let's do some multiplying to make each denominator equal to 6 © iTutor. 2000-2013. All Rights Reserved 2 3 2 2 7 6 7 6
4. 4. Comparing Fractions By using Multiplication:  Comparing Fractions and finding which unlike fraction (different denominators) is larger or smaller. 1. Write the two fractions. 2. Multiply the first numerator with the second denominator. 3. Write the product above the first fraction. 4. Multiply the second numerator with the first denominator. 5. Write the product above the second fraction. 6. Decide which product is greater and put the greater than or less than symbol between the two fractions. © iTutor. 2000-2013. All Rights Reserved
5. 5. Examples 3 7 Which is larger : or 7 2 Solution : The two fractions are: 3 7 or 7 2 Multiply the first numerator with the second denominator: 3 2 = 6 6 49 3 7 7 2 So, that © iTutor. 2000-2013. All Rights Reserved Multiply the Second numerator with the first denominator: 7 7 = 49 which product is greater: We can see that 6 < 49 Means 49 is larger than 6 3 7 < 7 2
6. 6. Which sign belongs between the two fractions? The greater product is written above the greater fraction. © iTutor. 2000-2013. All Rights Reserved
7. 7. Comparing Fractions Using Their Decimal Equivalents: Step I: Change each fraction to a decimal. Numerator (Top Number) Denominator (Bottom Number) Step II: Compare the decimals. © iTutor. 2000-2013. All Rights Reserved
8. 8. Example # ~ Compare these fractions. 4 ÷ 5 = 3 Next, compare the decimals. © iTutor. 2000-2013. All Rights Reserved ÷ 7 =
9. 9. Comparing Decimals 1 Line up the decimal points. Use zeros to make an equal number of decimal places. 0.800 0.428 © iTutor. 2000-2013. All Rights Reserved
10. 10. Comparing Decimals 2 Start by comparing the greatest place. Find the first place where the digits are different. 0.800 0.428 © iTutor. 2000-2013. All Rights Reserved
11. 11. Comparing Decimals 3 Compare the values of the digits. 0.8 is greater than 0.4 So, 0.8 > 0.428 © iTutor. 2000-2013. All Rights Reserved
12. 12. Example # ~ Compare these fractions. The greater than symbol can be placed between these fractions. © iTutor. 2000-2013. All Rights Reserved
13. 13. Call us for more Information: 1-855-694-8886 Visit www.iTutor.com The End