## Less Than, Greater Than

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#### Study Guide Less Than, Greater Than Mathematics, Grade 5

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COMPARING FRACTIONS AND DECIMALS Comparing Fractions and Decimals Let’s say we want to compare 3/5 to 0.7 to see which is GREATER. 1. One way to compare a fraction to a decimal is to convert the fraction to a decimal first, so that we can compare a decimal to a decimal. To compare 0.7 to 3/5 we can convert the fraction into a decimal by dividing the numerator by the denominator. We would divide 3 by 5 3 ÷ 5 _ 0 . 6__ 5 | 3 . 0 - 0 3 . 0 - 3 0 0 3/5 = 0.6 Now we can compare a decimal to a decimal: 0.6 < 0.7 so… 3/5 < 0.7 © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
2. Another way to compare a fraction to a decimal is to convert the decimal to a fraction and then compare the fraction to a fraction. Let’s compare 3/5 and 0.7 again, converting the decimal to a fraction this time. We read 0.7 as three tenths: 0.3 = 7/10 Now we have two fractions to compare: 3/5 and 7/10. We need to do an additional step before deciding which fraction is greater: we need to find a COMMON DENOMINATOR. 10 is a common denominator between 3/5 and 7/10. We do not need to do anything to 7/10 since it already has 10 as its denominator. 3 x 2 6 --- = --- 5 x 2 10 Now they both have the SAME denominators so we can now see which one is GREATER: 6/10 < 7/10 so… 3/5 < 0.7 © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.