Printable fraction multiplication worksheet for students to practice finding missing numbers in equations.

Let's solve each problem step by step. The goal is to find the missing number in each multiplication of fractions.

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1) $\frac{2}{5} \times \frac{1}{5} = ?$

Multiply numerators and denominators:
$$
\frac{2 \times 1}{5 \times 5} = \frac{2}{25}
$$
✔ Answer: $\frac{2}{25}$

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2) $\frac{4}{5} \times \frac{1}{3} = ?$

$$
\frac{4 \times 1}{5 \times 3} = \frac{4}{15}
$$
✔ Answer: $\frac{4}{15}$

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3) $\frac{4}{15} \times \frac{2}{3} = ?$

$$
\frac{4 \times 2}{15 \times 3} = \frac{8}{45}
$$
✔ Answer: $\frac{8}{45}$

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4) $?\times \frac{15}{8} = \frac{3}{4}$

Let the missing number be $x$. Then:
$$
x \times \frac{15}{8} = \frac{3}{4}
$$

Solve for $x$:
$$
x = \frac{3}{4} \div \frac{15}{8} = \frac{3}{4} \times \frac{8}{15} = \frac{24}{60} = \frac{2}{5}
$$
✔ Answer: $\frac{2}{5}$

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5) $?\times \frac{9}{4} = \frac{15}{16}$

Let $x$ be missing:
$$
x \times \frac{9}{4} = \frac{15}{16}
\Rightarrow x = \frac{15}{16} \div \frac{9}{4} = \frac{15}{16} \times \frac{4}{9} = \frac{60}{144} = \frac{5}{12}
$$
✔ Answer: $\frac{5}{12}$

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6) $?\times \frac{21}{16} = \frac{7}{18}$

Let $x$ be missing:
$$
x \times \frac{21}{16} = \frac{7}{18}
\Rightarrow x = \frac{7}{18} \div \frac{21}{16} = \frac{7}{18} \times \frac{16}{21} = \frac{112}{378}
$$

Simplify:
$$
\frac{112 \div 14}{378 \div 14} = \frac{8}{27}
$$
✔ Answer: $\frac{8}{27}$

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7) $\frac{2}{7} \times ? = \frac{3}{14}$

Let $x$ be missing:
$$
\frac{2}{7} \times x = \frac{3}{14}
\Rightarrow x = \frac{3}{14} \div \frac{2}{7} = \frac{3}{14} \times \frac{7}{2} = \frac{21}{28} = \frac{3}{4}
$$
✔ Answer: $\frac{3}{4}$

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8) $\frac{3}{8} \times ? = \frac{7}{16}$

Let $x$ be missing:
$$
\frac{3}{8} \times x = \frac{7}{16}
\Rightarrow x = \frac{7}{16} \div \frac{3}{8} = \frac{7}{16} \times \frac{8}{3} = \frac{56}{48} = \frac{7}{6}
$$
✔ Answer: $\frac{7}{6}$

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9) $\frac{9}{7} \times ? = \frac{1}{14}$

Let $x$ be missing:
$$
\frac{9}{7} \times x = \frac{1}{14}
\Rightarrow x = \frac{1}{14} \div \frac{9}{7} = \frac{1}{14} \times \frac{7}{9} = \frac{7}{126} = \frac{1}{18}
$$
✔ Answer: $\frac{1}{18}$

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10) $?\times \frac{3}{5} = \frac{4}{15}$

Let $x$ be missing:
$$
x \times \frac{3}{5} = \frac{4}{15}
\Rightarrow x = \frac{4}{15} \div \frac{3}{5} = \frac{4}{15} \times \frac{5}{3} = \frac{20}{45} = \frac{4}{9}
$$
✔ Answer: $\frac{4}{9}$

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11) $?\times \frac{7}{10} = \frac{11}{20}$

Let $x$ be missing:
$$
x \times \frac{7}{10} = \frac{11}{20}
\Rightarrow x = \frac{11}{20} \div \frac{7}{10} = \frac{11}{20} \times \frac{10}{7} = \frac{110}{140} = \frac{11}{14}
$$
✔ Answer: $\frac{11}{14}$

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12) $?\times \frac{3}{10} = \frac{9}{5}$

Let $x$ be missing:
$$
x \times \frac{3}{10} = \frac{9}{5}
\Rightarrow x = \frac{9}{5} \div \frac{3}{10} = \frac{9}{5} \times \frac{10}{3} = \frac{90}{15} = 6
$$
✔ Answer: $6$

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) | $\frac{2}{25}$ |
| 2) | $\frac{4}{15}$ |
| 3) | $\frac{8}{45}$ |
| 4) | $\frac{2}{5}$ |
| 5) | $\frac{5}{12}$ |
| 6) | $\frac{8}{27}$ |
| 7) | $\frac{3}{4}$ |
| 8) | $\frac{7}{6}$ |
| 9) | $\frac{1}{18}$ |
| 10) | $\frac{4}{9}$ |
| 11) | $\frac{11}{14}$ |
| 12) | $6$ |

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🔍 Summary of Method:

- For problems where both fractions are known, just multiply numerator × numerator and denominator × denominator.
- For problems with a missing factor, divide the product by the known fraction (i.e., multiply by the reciprocal).

Let me know if you'd like this as a printable worksheet or with visual explanations! 😊