Grade 6 Multiplication - Multiplying Fractions Worksheet - Free Printable

Let’s solve each fraction multiplication problem step by step.

Remember: To multiply fractions, you multiply the numerators (top numbers) together and the denominators (bottom numbers) together. Then simplify if needed.

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Problem 1:
$\frac{3}{4} \times \frac{1}{3}$

Multiply numerators: $3 \times 1 = 3$
Multiply denominators: $4 \times 3 = 12$
So we get $\frac{3}{12}$

Simplify: Both 3 and 12 can be divided by 3 → $\frac{1}{4}$

✔ Answer: $\frac{1}{4}$

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Problem 2:
$\frac{1}{2} \times \frac{2}{3}$

Numerators: $1 \times 2 = 2$
Denominators: $2 \times 3 = 6$
→ $\frac{2}{6}$

Simplify: Divide top and bottom by 2 → $\frac{1}{3}$

✔ Answer: $\frac{1}{3}$

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Problem 3:
$\frac{2}{5} \times \frac{1}{3}$

Numerators: $2 \times 1 = 2$
Denominators: $5 \times 3 = 15$
→ $\frac{2}{15}$

This is already simplified.

✔ Answer: $\frac{2}{15}$

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Problem 4:
$\frac{7}{12} \times \frac{2}{3}$

Numerators: $7 \times 2 = 14$
Denominators: $12 \times 3 = 36$
→ $\frac{14}{36}$

Simplify: Both divisible by 2 → $\frac{7}{18}$

✔ Answer: $\frac{7}{18}$

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Problem 5:
$\frac{4}{5} \times \frac{1}{6}$

Numerators: $4 \times 1 = 4$
Denominators: $5 \times 6 = 30$
→ $\frac{4}{30}$

Simplify: Divide by 2 → $\frac{2}{15}$

✔ Answer: $\frac{2}{15}$

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

Numerators: $1 \times 5 = 5$
Denominators: $4 \times 7 = 28$
→ $\frac{5}{28}$

Already simplified.

✔ Answer: $\frac{5}{28}$

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Final Answer:
1. $\frac{1}{4}$
2. $\frac{1}{3}$
3. $\frac{2}{15}$
4. $\frac{7}{18}$
5. $\frac{2}{15}$
6. $\frac{5}{28}$