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: ab×cd=a×cb×d\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}. Simplify the result by cancelling common factors.

23×34\frac{2}{3} \times \frac{3}{4} means 'two-thirds of three-quarters.' Take 34\frac{3}{4} of something, then take 23\frac{2}{3} of that result.

Showing a random 20 of 50 problems.

Example 1

medium
A recipe calls for 34\frac{3}{4} cup flour. If you make 23\frac{2}{3} of the recipe, how much flour?

Example 2

hard
Compute 1516×825\frac{15}{16} \times \frac{8}{25}.

Example 3

medium
Is 23×45\frac{2}{3} \times \frac{4}{5} larger or smaller than 23\frac{2}{3}?

Example 4

medium
Compute 313×353\frac{1}{3} \times \frac{3}{5}.

Example 5

easy
Compute 34×12\frac{3}{4} \times \frac{1}{2}.

Example 6

easy
What is 13×9\frac{1}{3} \times 9?

Example 7

easy
Compute 12×13\frac{1}{2} \times \frac{1}{3}.

Example 8

easy
Compute 14×8\frac{1}{4} \times 8.

Example 9

easy
What is 12\frac{1}{2} of 1010?

Example 10

challenge
Compute the product ∏k=210k−1k\prod_{k=2}^{10} \frac{k-1}{k} (that is, 12⋅23⋯910\frac{1}{2}\cdot\frac{2}{3}\cdots\frac{9}{10}).

Example 11

medium
Compute 29×92\frac{2}{9} \times \frac{9}{2}.

Example 12

easy
Multiply 35×29\frac{3}{5} \times \frac{2}{9}.

Example 13

medium
A pitcher holds 56\frac{5}{6} L of juice. If 35\frac{3}{5} of it is poured out, how much was poured?

Example 14

medium
Compute 38÷14\frac{3}{8} \div \frac{1}{4}.

Example 15

easy
Multiply 27×34\frac{2}{7} \times \frac{3}{4} and simplify if possible.

Example 16

medium
Compute 214×1132\frac{1}{4} \times 1\frac{1}{3}.

Example 17

challenge
What is the product of the first 5050 terms: 12⋅23⋅34⋯5051\frac{1}{2} \cdot \frac{2}{3} \cdot \frac{3}{4} \cdots \frac{50}{51}?

Example 18

hard
Solve for xx: 35×x=920\frac{3}{5} \times x = \frac{9}{20}.

Example 19

medium
Compute 12×23×34\frac{1}{2} \times \frac{2}{3} \times \frac{3}{4}.

Example 20

easy
Compute 13×15\frac{1}{3} \times \frac{1}{5}.
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