Multiplying Fractions Worksheets with Answer Key - Free Printable

To solve the problems in the "Multiplying Fractions Worksheet," we will multiply the numerators together and the denominators together for each pair of fractions. Let's go through each problem step by step.

Problem 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: $\frac{18}{16} = \frac{9}{8}$

Answer: $\frac{9}{8}$

Problem 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: $\frac{2}{54} = \frac{1}{27}$

Answer: $\frac{1}{27}$

Problem 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: $\frac{6}{15} = \frac{2}{5}$

Answer: $\frac{2}{5}$

Problem 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: $\frac{40}{18} = \frac{20}{9}$

Answer: $\frac{20}{9}$

Problem 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: $\frac{4}{42} = \frac{2}{21}$

Answer: $\frac{2}{21}$

Problem 6: $\frac{4}{5} \times \frac{3}{7}$

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

Answer: $\frac{12}{35}$

Problem 7: $\frac{5}{8} \times \frac{1}{9}$

- Multiply the numerators: $5 \times 1 = 5$
- Multiply the denominators: $8 \times 9 = 72$
- Result: $\frac{5}{72}$

Answer: $\frac{5}{72}$

Problem 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: $\frac{12}{20} = \frac{3}{5}$

Answer: $\frac{3}{5}$

Problem 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: $\frac{24}{63} = \frac{8}{21}$

Answer: $\frac{8}{21}$

Problem 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: $\frac{4}{18} = \frac{2}{9}$

Answer: $\frac{2}{9}$

Problem 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: $\frac{28}{72} = \frac{7}{18}$

Answer: $\frac{7}{18}$

Problem 12: $\frac{5}{8} \times \frac{5}{6}$

- Multiply the numerators: $5 \times 5 = 25$
- Multiply the denominators: $8 \times 6 = 48$
- Result: $\frac{25}{48}$

Answer: $\frac{25}{48}$

Problem 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: $\frac{6}{45} = \frac{2}{15}$

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

Problem 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: $\frac{56}{54} = \frac{28}{27}$

Answer: $\frac{28}{27}$

Final Answers:

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

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