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Comparing Fractions with Unlike Denominators Worksheet

Rewrite both fractions with a common denominator, then write <, > or =.

Free printable

Comparing Fractions with Unlike Denominators

15 questions, one page, US Letter. Print it and do it on paper.

On the sheet: Find a common denominator: a number both denominators divide into. Rewrite each fraction with that denominator, multiplying its top and bottom by the same number. Compare the new numerators: the bigger numerator is the bigger fraction. Write >, < or = in the box.

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About this worksheet

Fractions with different denominators are cut into different-sized pieces, so their numerators can't be compared directly: 2/3 counts thirds and 3/5 counts fifths.

Rewrite both with a common denominator, a number both denominators divide into. Once the pieces are the same size, the bigger numerator is the bigger fraction.

A worked example

3/4 ___ 5/6

  1. Find a common denominator: 12, because both 4 and 6 divide into it.
  2. Rewrite each fraction: 3/4 = 9/12 (times 3), and 5/6 = 10/12 (times 2).
  3. Compare the numerators: 9 is less than 10.

Answer: 3/4 < 5/6

The common mistake

What it looks like: Comparing the denominators as whole numbers: deciding 3/8 is bigger than 1/2 because 8 is bigger than 2.

Why it happens: With whole numbers, a bigger digit means a bigger number, and that habit carries over.

How to fix it: A bigger denominator means smaller pieces. Rewrite both in eighths: 1/2 = 4/8, and 4/8 is more than 3/8.

Ten minutes a day, on paper. We plan what comes next.

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  • Mon Comparing Fractions with Unlike Denominators
  • Tue What they missed, back again
  • Wed The next step, when they’re ready

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