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Skills Covered

  • Compare fractions with different numerators and denominators using >, < and =
  • Use fraction strips and area models to compare
  • Rename fractions with a common denominator or a common numerator
  • Compare fractions with the benchmarks 1/2 and 1
  • Compare mixed numbers and fractions greater than 1 on number lines and explain why
  • Order three or four fractions and solve comparison story problems

How to Use This Pack

Five pages on comparing and ordering fractions. Page 1 shades two fraction strips of the same length for each pair, such as 2/3 and 3/5, and compares them, then reads two area models (one cut in columns, one in rows) and writes and compares the fractions they show. Page 2 lists multiples to find a common denominator, renames one fraction (3/4 = 6/8, and 6/8 > 5/8), then renames both (2/3 = 8/12 and 3/4 = 9/12). Page 3 compares fractions with the same numerator, renames to a common numerator (2/3 = 4/6, and 4/6 < 4/5), compares each fraction with 1/2 first, and compares fractions one part away from 1 (7/8 is 1/8 from 1, 9/10 is 1/10 from 1). Page 4 marks mixed numbers and fractions greater than 1 on number lines and compares them, then compares four pairs and explains each. Page 5 orders three or four numbers from least to greatest (with mixed numbers and one decimal), then solves four story problems that ask who has more and why.

In the Classroom

Hand out fraction strips and ask pairs to show 2/3 and 3/5 side by side before page 1: which is longer, and by how much? On page 2, have students say the rule aloud: same denominator, compare the numerators. Page 3 is a good place to collect strategies on the board: common denominators, common numerators, 1/2 and 1. Ask the class which one they would pick for 7/8 and 9/10, and why.

At Home

Cut two paper strips the same length, fold one into thirds and one into fifths, and color 2/3 and 3/5. Which is more? At dinner, compare who ate more of a pizza or a pie, and ask your child to explain how they know, not just which is bigger.

Tips for Success

  • Same denominator: the bigger numerator is the bigger fraction
  • Same numerator: the smaller denominator means bigger parts, so a bigger fraction
  • To compare unlike fractions, rename them with a common denominator
  • Compare each fraction with 1/2 or 1 first: it can settle the question fast
  • For mixed numbers, compare the wholes first, then the fractions

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 4.NF.A.2 Compare fractions with different numerators and denominators using common denominators or numerators, or a benchmark like 1/2; record with >, = or < and explain.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Comparing and Ordering Fractions

4th – 5th Grade

A 5-page comparing fractions pack for 4th and 5th grade. Shade fraction strips and read area models to compare fractions whose numerators and denominators both differ, writing >, < or =. List multiples to find a common denominator, rename one or both fractions, and compare; then compare with common numerators, with 1/2, and by how far each fraction is from 1. Mark mixed numbers and fractions greater than 1 on number lines, compare them and explain how you know. Order three or four fractions from least to greatest and solve story problems that ask who has more and why. Every page comes in color and in black and white. Answer keys included.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Fraction strips and area models, and lists of multiples for a common denominator
  • Common denominators, common numerators, and the benchmarks 1/2 and 1
  • Mixed numbers on number lines, ordering three or four fractions, and story problems that ask why
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