Practice Multiplying Fractions in Math

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

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.

Example 1

easy
Multiply \frac{2}{3} \times \frac{5}{7}.

Example 2

medium
Compute \frac{4}{9} \times \frac{3}{8}.

Example 3

easy
Multiply \frac{3}{5} \times \frac{2}{9}.

Example 4

medium
A tank is \frac{3}{4} full. If \frac{2}{5} of the water is used, what fraction of the tank is still full?