Worksheets for fraction multiplication - Free Printable

Problem: Multiplying Fractions Worksheet

We are tasked with solving the multiplication of fractions for each problem listed in the worksheet. Let's solve each one step by step.

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#### Step-by-Step Solutions:

1. $\frac{6}{8} \times \frac{3}{2}$
- Multiply the numerators: $6 \times 3 = 18$
- Multiply the denominators: $8 \times 2 = 16$
- Result: $\frac{18}{16}$
- Simplify: $\frac{18}{16} = \frac{9}{8}$ (divide numerator and denominator by 2)
- Final Answer: $\boxed{\frac{9}{8}}$

2. $\frac{1}{6} \times \frac{2}{9}$
- Multiply the numerators: $1 \times 2 = 2$
- Multiply the denominators: $6 \times 9 = 54$
- Result: $\frac{2}{54}$
- Simplify: $\frac{2}{54} = \frac{1}{27}$ (divide numerator and denominator by 2)
- Final Answer: $\boxed{\frac{1}{27}}$

3. $\frac{2}{3} \times \frac{3}{5}$
- Multiply the numerators: $2 \times 3 = 6$
- Multiply the denominators: $3 \times 5 = 15$
- Result: $\frac{6}{15}$
- Simplify: $\frac{6}{15} = \frac{2}{5}$ (divide numerator and denominator by 3)
- Final Answer: $\boxed{\frac{2}{5}}$

4. $\frac{5}{6} \times \frac{8}{3}$
- Multiply the numerators: $5 \times 8 = 40$
- Multiply the denominators: $6 \times 3 = 18$
- Result: $\frac{40}{18}$
- Simplify: $\frac{40}{18} = \frac{20}{9}$ (divide numerator and denominator by 2)
- Final Answer: $\boxed{\frac{20}{9}}$

5. $\frac{2}{6} \times \frac{2}{7}$
- Multiply the numerators: $2 \times 2 = 4$
- Multiply the denominators: $6 \times 7 = 42$
- Result: $\frac{4}{42}$
- Simplify: $\frac{4}{42} = \frac{2}{21}$ (divide numerator and denominator by 2)
- Final Answer: $\boxed{\frac{2}{21}}$

6. $\frac{4}{5} \times \frac{3}{7}$
- Multiply the numerators: $4 \times 3 = 12$
- Multiply the denominators: $5 \times 7 = 35$
- Result: $\frac{12}{35}$
- Final Answer: $\boxed{\frac{12}{35}}$

7. $\frac{5}{8} \times \frac{1}{9}$
- Multiply the numerators: $5 \times 1 = 5$
- Multiply the denominators: $8 \times 9 = 72$
- Result: $\frac{5}{72}$
- Final Answer: $\boxed{\frac{5}{72}}$

8. $\frac{3}{4} \times \frac{4}{5}$
- Multiply the numerators: $3 \times 4 = 12$
- Multiply the denominators: $4 \times 5 = 20$
- Result: $\frac{12}{20}$
- Simplify: $\frac{12}{20} = \frac{3}{5}$ (divide numerator and denominator by 4)
- Final Answer: $\boxed{\frac{3}{5}}$

9. $\frac{6}{7} \times \frac{4}{9}$
- Multiply the numerators: $6 \times 4 = 24$
- Multiply the denominators: $7 \times 9 = 63$
- Result: $\frac{24}{63}$
- Simplify: $\frac{24}{63} = \frac{8}{21}$ (divide numerator and denominator by 3)
- Final Answer: $\boxed{\frac{8}{21}}$

10. $\frac{4}{3} \times \frac{1}{6}$
- Multiply the numerators: $4 \times 1 = 4$
- Multiply the denominators: $3 \times 6 = 18$
- Result: $\frac{4}{18}$
- Simplify: $\frac{4}{18} = \frac{2}{9}$ (divide numerator and denominator by 2)
- Final Answer: $\boxed{\frac{2}{9}}$

11. $\frac{4}{9} \times \frac{7}{8}$
- Multiply the numerators: $4 \times 7 = 28$
- Multiply the denominators: $9 \times 8 = 72$
- Result: $\frac{28}{72}$
- Simplify: $\frac{28}{72} = \frac{7}{18}$ (divide numerator and denominator by 4)
- Final Answer: $\boxed{\frac{7}{18}}$

12. $\frac{5}{8} \times \frac{5}{6}$
- Multiply the numerators: $5 \times 5 = 25$
- Multiply the denominators: $8 \times 6 = 48$
- Result: $\frac{25}{48}$
- Final Answer: $\boxed{\frac{25}{48}}$

13. $\frac{2}{5} \times \frac{3}{9}$
- Multiply the numerators: $2 \times 3 = 6$
- Multiply the denominators: $5 \times 9 = 45$
- Result: $\frac{6}{45}$
- Simplify: $\frac{6}{45} = \frac{2}{15}$ (divide numerator and denominator by 3)
- Final Answer: $\boxed{\frac{2}{15}}$

14. $\frac{8}{9} \times \frac{7}{6}$
- Multiply the numerators: $8 \times 7 = 56$
- Multiply the denominators: $9 \times 6 = 54$
- Result: $\frac{56}{54}$
- Simplify: $\frac{56}{54} = \frac{28}{27}$ (divide numerator and denominator by 2)
- Final Answer: $\boxed{\frac{28}{27}}$

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Final Answers:

1. $\boxed{\frac{9}{8}}$
2. $\boxed{\frac{1}{27}}$
3. $\boxed{\frac{2}{5}}$
4. $\boxed{\frac{20}{9}}$
5. $\boxed{\frac{2}{21}}$
6. $\boxed{\frac{12}{35}}$
7. $\boxed{\frac{5}{72}}$
8. $\boxed{\frac{3}{5}}$
9. $\boxed{\frac{8}{21}}$
10. $\boxed{\frac{2}{9}}$
11. $\boxed{\frac{7}{18}}$
12. $\boxed{\frac{25}{48}}$
13. $\boxed{\frac{2}{15}}$
14. $\boxed{\frac{28}{27}}$

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Boxed Final Answer:
$$
\boxed{\frac{9}{8}, \frac{1}{27}, \frac{2}{5}, \frac{20}{9}, \frac{2}{21}, \frac{12}{35}, \frac{5}{72}, \frac{3}{5}, \frac{8}{21}, \frac{2}{9}, \frac{7}{18}, \frac{25}{48}, \frac{2}{15}, \frac{28}{27}}
$$