Practice Ordering Fractions in Math

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

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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.

Showing a random 20 of 50 problems.

Example 1

challenge

Five fractions all lie between

\frac{1}{2}

and

\frac{2}{3}

. Could

\frac{7}{12}

be one of them? Justify.

7/12 located between the two boundary fractions on the number line

Example 2

easy

Order using the benchmark

\frac{1}{2}

\frac{1}{3}

and

\frac{2}{3}

Example 3

easy

Order

\frac{1}{2}

\frac{1}{3}

, and

\frac{1}{4}

from least to greatest.

Example 4

easy

Order least to greatest:

\frac{2}{10}, \frac{2}{5}, \frac{2}{3}

Example 5

hard

Four students reported they had completed

\frac{3}{8}, \frac{2}{5}, \frac{7}{20}

, and

\frac{9}{25}

of their reading. Order least to greatest.

Example 6

hard

Order least to greatest using cross-multiplication:

\frac{5}{7}, \frac{7}{10}

Example 7

medium

Use the benchmark

\frac{1}{2}

to order

\frac{4}{9}, \frac{6}{11}, \frac{3}{7}

least to greatest.

Example 8

easy

Which is largest:

\frac{1}{2}, \frac{1}{6}, \frac{1}{3}

Example 9

hard

Order least to greatest:

\frac{17}{20}, \frac{4}{5}, \frac{9}{10}

Example 10

medium

Order least to greatest:

\frac{3}{5}

\frac{5}{8}

\frac{1}{2}

Example 11

medium

Order least to greatest:

\frac{2}{3}

\frac{3}{4}

\frac{5}{8}

Example 12

easy

Order least to greatest:

\frac{1}{5}, \frac{1}{8}, \frac{1}{2}

Example 13

hard

Order greatest to least:

\frac{9}{20}, \frac{4}{9}, \frac{11}{25}

Example 14

medium

Order least to greatest:

\frac{1}{2}

\frac{4}{9}

\frac{5}{9}

Example 15

medium

Order greatest to least:

\frac{7}{8}

\frac{5}{6}

\frac{11}{12}

Example 16

easy

Which is the smallest of

\frac{3}{8}, \frac{3}{4}, \frac{3}{5}

Example 17

challenge

Arrange least to greatest and identify the median:

\frac{1}{4}

\frac{2}{5}

\frac{1}{2}

\frac{3}{5}

\frac{7}{10}

Example 18

easy

Order from least to greatest:

\frac{1}{5}

\frac{3}{5}

\frac{2}{5}

Example 19

medium

Order greatest to least:

\frac{3}{5}, \frac{7}{10}, \frac{13}{20}

Example 20

medium

Order least to greatest using a common denominator:

\frac{1}{4}, \frac{2}{3}, \frac{5}{12}

← Back to Ordering Fractions Worked Examples Formula Explained

Related Concepts

Comparing Fractions Fraction on a Number Line