Practice Ordering Fractions in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Ordering fractions means arranging a set of fractions from least to greatest (or greatest to least) by converting them to a common denominator or to decimals so their sizes can be directly compared.

Convert all fractions to a common denominator and then read off the order from the numerators.

Example 1

easy
Order \frac{1}{2}, \frac{1}{3}, and \frac{1}{4} from least to greatest.

Example 2

medium
Order \frac{5}{6}, \frac{3}{4}, \frac{7}{12}, and \frac{2}{3} from least to greatest.

Example 3

easy
Order \frac{2}{5}, \frac{3}{10}, and \frac{1}{2} from greatest to least.

Example 4

hard
Arrange \frac{4}{9}, \frac{5}{12}, \frac{7}{18}, and \frac{11}{36} from least to greatest.
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