Compare and Order Fractions

Mathematics, Grade 5

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Study Guide Compare and Order Fractions Mathematics, Grade 5

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COMPARING FRACTIONS When comparing two fractions that have a common denominator meaning they have the SAME number on the bottom you can look at the numerators (the numbers on the top of the fraction) to decide which fraction is greater. The fraction with the HIGHER numerator is the GREATER fraction when they have the same denominator. 4/9 > 2/9 If the fractions you are comparing have the SAME numerator (top numerator) than the fraction with the SMALLER denominator (bottom number) is the GREATER fraction. 3/7 > 3/9 If the fractions your are comparing have different denominators and numerators, you MUST find a common denominator FIRST in order to decide which fractions is greater: The following fractions each have different denominators (bottom numbers) and different numerators (top numbers) too. 3/4 2/3 So, you’ll need to find a common denominator in order to compare the fractions. In this case, we can find a common denominator by MULTIPLING. Remember: whatever you multiply the numerator by you have to multiply the denominator by the SAME number in a fraction. © 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.
We need to find a number that BOTH fractions are multiples of, a common denominator. The common denominator we can find for both fractions is 12! 3 x3 _9_ 4 x3 = 12 2 x4 = _8_ 3 x4 12 3/4 > 2/3 Because 9/12 > 8/12 Putting Fractions in Order from Least to Greatest Fractions with common denominators When fractions have a common denominator, you can then look at the numerators to put the fractions in order from least to greatest. Example: 2/5 1/5 4/5 3/5 These four fractions each have a common denominator: 5 So, we need to look at the numerators (the numbers on the top of the fraction) to put these fractions in order from LEAST to GREATEST. Here are the fractions in order from least to greatest: 1/5 2/5 3/5 4/5 © 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.
Fractions without common denominators If you need to put fractions in order that do NOT have common denominators, you need to complete an extra step: You need to find a COMMON denominator (as explained above) of all the fractions and THEN put them in order from least to greatest. 1/2 3/4 5/8 These three fractions have a common denominator of 16 1/2 8/16 and 3/4 12/16 and 5/8 10/16 So we can now put them in order from least to greatest: 1/2, 5/8, 3/4 © 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.