Multiplying Fractions Worksheet - Free Printable

Sure! Let’s solve each multiplication problem on the Fractions Worksheet step by step.

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📝 General Rule for Multiplying Fractions:

To multiply two fractions:
> Multiply the numerators together, and multiply the denominators together.
Then simplify the result if possible.

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## ✔ Problem 1a:
$\frac{8}{9} \times \frac{1}{9}$

- Numerator: $8 \times 1 = 8$
- Denominator: $9 \times 9 = 81$
- Result: $\frac{8}{81}$ → Already simplified.

✔ Answer: $\boxed{\frac{8}{81}}$

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## ✔ Problem 1b:
$\frac{3}{12} \times \frac{7}{11}$

First, simplify $\frac{3}{12}$ → divide numerator and denominator by 3:
→ $\frac{1}{4}$

Now multiply:
$\frac{1}{4} \times \frac{7}{11} = \frac{1 \times 7}{4 \times 11} = \frac{7}{44}$

✔ Answer: $\boxed{\frac{7}{44}}$

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## ✔ Problem 2a:
$\frac{2}{8} \times \frac{1}{12}$

Simplify $\frac{2}{8}$ → divide by 2: $\frac{1}{4}$

Now: $\frac{1}{4} \times \frac{1}{12} = \frac{1 \times 1}{4 \times 12} = \frac{1}{48}$

✔ Answer: $\boxed{\frac{1}{48}}$

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## ✔ Problem 2b:
$\frac{1}{8} \times \frac{6}{12}$

Simplify $\frac{6}{12}$ → divide by 6: $\frac{1}{2}$

Now: $\frac{1}{8} \times \frac{1}{2} = \frac{1 \times 1}{8 \times 2} = \frac{1}{16}$

✔ Answer: $\boxed{\frac{1}{16}}$

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## ✔ Problem 3a:
$\frac{4}{10} \times \frac{1}{7}$

Simplify $\frac{4}{10}$ → divide by 2: $\frac{2}{5}$

Now: $\frac{2}{5} \times \frac{1}{7} = \frac{2 \times 1}{5 \times 7} = \frac{2}{35}$

✔ Answer: $\boxed{\frac{2}{35}}$

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## ✔ Problem 3b:
$\frac{2}{9} \times \frac{3}{10}$

Multiply numerators: $2 \times 3 = 6$
Multiply denominators: $9 \times 10 = 90$
→ $\frac{6}{90}$

Simplify: divide numerator and denominator by 6 → $\frac{1}{15}$

✔ Answer: $\boxed{\frac{1}{15}}$

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## ✔ Problem 4a:
$\frac{5}{6} \times \frac{1}{7}$

Multiply: $\frac{5 \times 1}{6 \times 7} = \frac{5}{42}$ → already simplified.

✔ Answer: $\boxed{\frac{5}{42}}$

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## ✔ Problem 4b:
$\frac{1}{9} \times \frac{5}{12}$

Multiply: $\frac{1 \times 5}{9 \times 12} = \frac{5}{108}$ → already simplified.

✔ Answer: $\boxed{\frac{5}{108}}$

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## ✔ Problem 5a:
$\frac{6}{8} \times \frac{3}{6}$

Simplify both fractions first:

- $\frac{6}{8} = \frac{3}{4}$
- $\frac{3}{6} = \frac{1}{2}$

Now: $\frac{3}{4} \times \frac{1}{2} = \frac{3 \times 1}{4 \times 2} = \frac{3}{8}$

✔ Answer: $\boxed{\frac{3}{8}}$

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## ✔ Problem 5b:
$\frac{1}{10} \times \frac{5}{6}$

Multiply: $\frac{1 \times 5}{10 \times 6} = \frac{5}{60}$

Simplify: divide numerator and denominator by 5 → $\frac{1}{12}$

✔ Answer: $\boxed{\frac{1}{12}}$

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## 🎯 Final Answers Summary:

| Problem | Answer |
|---------|---------------|
| 1a | $\frac{8}{81}$ |
| 1b | $\frac{7}{44}$ |
| 2a | $\frac{1}{48}$ |
| 2b | $\frac{1}{16}$ |
| 3a | $\frac{2}{35}$ |
| 3b | $\frac{1}{15}$ |
| 4a | $\frac{5}{42}$ |
| 4b | $\frac{5}{108}$ |
| 5a | $\frac{3}{8}$ |
| 5b | $\frac{1}{12}$ |

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Let me know if you’d like to see visual models (like area models or number lines) for any of these! 😊