Practice Comparing 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

Determining which of two fractions is greater, less, or equal using common denominators, benchmarks, or cross-multiplication.

To compare $\frac{3}{4}$ and $\frac{5}{6}$ , rewrite them with the same denominator so the numerators can be compared directly.

Showing a random 20 of 50 problems.

Example 1

easy

Which is greater,

\frac{3}{5}

\frac{2}{5}

Compare 3/5 and 2/5 using the bar models.

Example 2

easy

Which is greater,

\frac{1}{6}

\frac{1}{8}

Which is further from 0 — 1/6 or 1/8?

Example 3

medium

Using the benchmark

\frac{1}{2}

, compare

\frac{7}{15}

and

\frac{9}{16}

Use the benchmark 1/2. Which side does each fraction fall on?

Example 4

medium

Which fraction lies between

\frac{1}{3}

and

\frac{1}{2}

\frac{2}{5}

\frac{1}{4}

Which of 2/5 and 1/4 lies strictly between 1/3 and 1/2?

Example 5

easy

Compare

\frac{2}{3}

and

\frac{3}{4}

using cross-multiplication.

Example 6

challenge

Order

\frac{5}{8}

\frac{2}{3}

\frac{7}{12}

from least to greatest.

Example 7

challenge

Insert a fraction strictly between

\frac{1}{3}

and

\frac{1}{2}

Example 8

medium

Compare

\frac{9}{10}

and

\frac{11}{12}

. Which is closer to 1?

Example 9

medium

Order from greatest to least:

\frac{2}{3},\ \frac{5}{8},\ \frac{7}{12}

Order 2/3, 5/8, and 7/12 from greatest to least.

Example 10

easy

Use the benchmark

1

to compare

\frac{7}{8}

and

\frac{9}{8}

Use the benchmark 1. Which fraction is greater?

Example 11

medium

Which is greater,

\frac{7}{12}

\frac{1}{2}

Is 7/12 greater or less than the benchmark 1/2?

Example 12

easy

Which is greater,

\frac{2}{9}

\frac{2}{11}

Both fractions have numerator 2. Which is greater?

Example 13

medium

Order from least to greatest:

\frac{3}{4},\ \frac{7}{10},\ \frac{4}{5}

Order 3/4, 7/10, and 4/5 from least to greatest.

Example 14

medium

Which is greater,

\frac{7}{10}

\frac{2}{3}

? Use a common denominator.

Example 15

easy

Order from least to greatest:

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

Order 1/4, 1/2, and 3/4 from least to greatest.

Example 16

hard

Compare

\frac{7}{12}

and

\frac{11}{18}

Example 17

hard

Without finding a common denominator, use benchmark reasoning to compare

\frac{11}{20}

and

\frac{8}{15}

Example 18

easy

Fill in:

\frac{3}{7}\ \square\ \frac{5}{7}

Fill in < or >: 3/7 __ 5/7.

Example 19

medium

Which is greater,

\frac{4}{5}

\frac{5}{6}

? Use cross-multiplication.

Example 20

medium

Fill in

<

>

, or

=

\frac{4}{9} \ \square\ \frac{5}{11}

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Related Concepts

Fractions Equivalent Fractions Ordering Fractions