Grade 6 Multiplying Fractions Worksheets | Math Worksheets - Free Printable

To solve the given problems involving the multiplication of fractions, we follow these steps:

Steps to Multiply Fractions:

1. Multiply the numerators together to get the new numerator.
2. Multiply the denominators together to get the new denominator.
3. Simplify the resulting fraction if possible.

Let's solve each problem step by step.

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Problem 1: $\frac{2}{3} \times \frac{1}{8}$

- Multiply the numerators: $2 \times 1 = 2$
- Multiply the denominators: $3 \times 8 = 24$
- Result: $\frac{2}{24}$
- Simplify: $\frac{2}{24} = \frac{1}{12}$

Answer: $\boxed{\frac{1}{12}}$

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Problem 2: $\frac{2}{5} \times \frac{7}{8}$

- Multiply the numerators: $2 \times 7 = 14$
- Multiply the denominators: $5 \times 8 = 40$
- Result: $\frac{14}{40}$
- Simplify: $\frac{14}{40} = \frac{7}{20}$

Answer: $\boxed{\frac{7}{20}}$

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Problem 3: $\frac{1}{6} \times \frac{4}{9}$

- Multiply the numerators: $1 \times 4 = 4$
- Multiply the denominators: $6 \times 9 = 54$
- Result: $\frac{4}{54}$
- Simplify: $\frac{4}{54} = \frac{2}{27}$

Answer: $\boxed{\frac{2}{27}}$

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Problem 4: $\frac{8}{12} \times \frac{1}{5}$

- Multiply the numerators: $8 \times 1 = 8$
- Multiply the denominators: $12 \times 5 = 60$
- Result: $\frac{8}{60}$
- Simplify: $\frac{8}{60} = \frac{2}{15}$

Answer: $\boxed{\frac{2}{15}}$

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Problem 5: $\frac{7}{14} \times \frac{7}{17}$

- Multiply the numerators: $7 \times 7 = 49$
- Multiply the denominators: $14 \times 17 = 238$
- Result: $\frac{49}{238}$
- Simplify: $\frac{49}{238} = \frac{7}{34}$ (since both numerator and denominator can be divided by 7)

Answer: $\boxed{\frac{7}{34}}$

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Problem 6: $\frac{8}{9} \times \frac{1}{2}$

- Multiply the numerators: $8 \times 1 = 8$
- Multiply the denominators: $9 \times 2 = 18$
- Result: $\frac{8}{18}$
- Simplify: $\frac{8}{18} = \frac{4}{9}$

Answer: $\boxed{\frac{4}{9}}$

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Problem 7: $\frac{5}{24} \times \frac{8}{15}$

- Multiply the numerators: $5 \times 8 = 40$
- Multiply the denominators: $24 \times 15 = 360$
- Result: $\frac{40}{360}$
- Simplify: $\frac{40}{360} = \frac{1}{9}$ (both numerator and denominator can be divided by 40)

Answer: $\boxed{\frac{1}{9}}$

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Problem 8: $\frac{6}{20} \times \frac{1}{12}$

- Multiply the numerators: $6 \times 1 = 6$
- Multiply the denominators: $20 \times 12 = 240$
- Result: $\frac{6}{240}$
- Simplify: $\frac{6}{240} = \frac{1}{40}$ (both numerator and denominator can be divided by 6)

Answer: $\boxed{\frac{1}{40}}$

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Problem 9: $\frac{2}{11} \times \frac{1}{2}$

- Multiply the numerators: $2 \times 1 = 2$
- Multiply the denominators: $11 \times 2 = 22$
- Result: $\frac{2}{22}$
- Simplify: $\frac{2}{22} = \frac{1}{11}$

Answer: $\boxed{\frac{1}{11}}$

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Problem 10: $\frac{8}{10} \times \frac{7}{16}$

- Multiply the numerators: $8 \times 7 = 56$
- Multiply the denominators: $10 \times 16 = 160$
- Result: $\frac{56}{160}$
- Simplify: $\frac{56}{160} = \frac{7}{20}$ (both numerator and denominator can be divided by 8)

Answer: $\boxed{\frac{7}{20}}$

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Problem 11: $\frac{3}{25} \times \frac{5}{9}$

- Multiply the numerators: $3 \times 5 = 15$
- Multiply the denominators: $25 \times 9 = 225$
- Result: $\frac{15}{225}$
- Simplify: $\frac{15}{225} = \frac{1}{15}$ (both numerator and denominator can be divided by 15)

Answer: $\boxed{\frac{1}{15}}$

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Problem 12: $\frac{9}{24} \times \frac{6}{15}$

- Multiply the numerators: $9 \times 6 = 54$
- Multiply the denominators: $24 \times 15 = 360$
- Result: $\frac{54}{360}$
- Simplify: $\frac{54}{360} = \frac{3}{20}$ (both numerator and denominator can be divided by 18)

Answer: $\boxed{\frac{3}{20}}$

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Final Answers:

1. $\boxed{\frac{1}{12}}$
2. $\boxed{\frac{7}{20}}$
3. $\boxed{\frac{2}{27}}$
4. $\boxed{\frac{2}{15}}$
5. $\boxed{\frac{7}{34}}$
6. $\boxed{\frac{4}{9}}$
7. $\boxed{\frac{1}{9}}$
8. $\boxed{\frac{1}{40}}$
9. $\boxed{\frac{1}{11}}$
10. $\boxed{\frac{7}{20}}$
11. $\boxed{\frac{1}{15}}$
12. $\boxed{\frac{3}{20}}$