Practice Multiplying 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

To multiply fractions, multiply the numerators together and the denominators together: $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$ . Simplify the result by cancelling common factors.

$\frac{2}{3} \times \frac{3}{4}$ means 'two-thirds of three-quarters.' Take $\frac{3}{4}$ of something, then take $\frac{2}{3}$ of that result.

Showing a random 20 of 50 problems.

Example 1

medium

A recipe calls for

\frac{3}{4}

cup flour. If you make

\frac{2}{3}

of the recipe, how much flour?

Recipe: 3/4 cup flour; 2/3 of the recipe needs only 1/2 cup

Example 2

hard

Compute

\frac{15}{16} \times \frac{8}{25}

15/16 × 8/25

Example 3

medium

\frac{2}{3} \times \frac{4}{5}

larger or smaller than

\frac{2}{3}

Example 4

medium

Compute

3\frac{1}{3} \times \frac{3}{5}

Example 5

easy

Compute

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

3/4 × 1/2: taking half of 3/4 gives 3/8

Example 6

easy

What is

\frac{1}{3} \times 9

Example 7

easy

Compute

\frac{1}{2} \times \frac{1}{3}

1/2 × 1/3: the product is 1 out of 6 equal parts

Example 8

easy

Compute

\frac{1}{4} \times 8

Example 9

easy

What is

\frac{1}{2}

10

Example 10

challenge

Compute the product

\prod_{k=2}^{10} \frac{k-1}{k}

(that is,

\frac{1}{2}\cdot\frac{2}{3}\cdots\frac{9}{10}

Example 11

medium

Compute

\frac{2}{9} \times \frac{9}{2}

Example 12

easy

Multiply

\frac{3}{5} \times \frac{2}{9}

3/5 × 2/9

Example 13

medium

A pitcher holds

\frac{5}{6}

L of juice. If

\frac{3}{5}

of it is poured out, how much was poured?

3/5 of 5/6 L poured out equals 1/2 L

Example 14

medium

Compute

\frac{3}{8} \div \frac{1}{4}

Example 15

easy

Multiply

\frac{2}{7} \times \frac{3}{4}

and simplify if possible.

2/7 × 3/4 = 3/14 of the whole

Example 16

medium

Compute

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

Example 17

challenge

What is the product of the first

50

terms:

\frac{1}{2} \cdot \frac{2}{3} \cdot \frac{3}{4} \cdots \frac{50}{51}

Example 18

hard

Solve for

x

\frac{3}{5} \times x = \frac{9}{20}

Example 19

medium

Compute

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

Example 20

easy

Compute

\frac{1}{3} \times \frac{1}{5}

1/3 × 1/5

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Related Concepts

Fractions Multiplication Dividing Fractions Fraction of a Number