Multiplying fractions | 5th grade Math Worksheet | GreatSchools - Free Printable

Let’s solve each problem step by step. We’re multiplying fractions — remember: multiply numerators together and denominators together, then simplify if needed.

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Row 1:

1. $\frac{1}{2} \times \frac{3}{4} = \frac{1 \cdot 3}{2 \cdot 4} = \frac{3}{8}$ → already simplified
✔ Answer: $\frac{3}{8}$

2. $\frac{1}{10} \times \frac{5}{6} = \frac{1 \cdot 5}{10 \cdot 6} = \frac{5}{60} = \frac{1}{12}$ (divide numerator and denominator by 5)
✔ Answer: $\frac{1}{12}$

3. $6 \times \frac{1}{4} = \frac{6}{1} \times \frac{1}{4} = \frac{6}{4} = \frac{3}{2}$ or $1\frac{1}{2}$
✔ Answer: $\frac{3}{2}$ or $1\frac{1}{2}$

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Row 2:

4. $9 \times \frac{1}{7} = \frac{9}{1} \times \frac{1}{7} = \frac{9}{7}$ or $1\frac{2}{7}$
✔ Answer: $\frac{9}{7}$ or $1\frac{2}{7}$

5. $\frac{6}{7} \times \frac{3}{7} = \frac{6 \cdot 3}{7 \cdot 7} = \frac{18}{49}$ → no common factors
✔ Answer: $\frac{18}{49}$

6. $\frac{1}{9} \times \frac{5}{9} = \frac{1 \cdot 5}{9 \cdot 9} = \frac{5}{81}$
✔ Answer: $\frac{5}{81}$

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Row 3:

7. $\frac{2}{9} \times \frac{3}{7} = \frac{2 \cdot 3}{9 \cdot 7} = \frac{6}{63} = \frac{2}{21}$ (divide by 3)
✔ Answer: $\frac{2}{21}$

8. $4 \times \frac{3}{10} = \frac{4}{1} \times \frac{3}{10} = \frac{12}{10} = \frac{6}{5}$ or $1\frac{1}{5}$
✔ Answer: $\frac{6}{5}$ or $1\frac{1}{5}$

9. $\frac{3}{10} \times 10 = \frac{3}{10} \times \frac{10}{1} = \frac{30}{10} = 3$
✔ Answer: $3$

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Row 4:

10. $\frac{1}{4} \times 15 = \frac{1}{4} \times \frac{15}{1} = \frac{15}{4}$ or $3\frac{3}{4}$
✔ Answer: $\frac{15}{4}$ or $3\frac{3}{4}$

11. $\frac{1}{10} \times \frac{3}{7} = \frac{1 \cdot 3}{10 \cdot 7} = \frac{3}{70}$
✔ Answer: $\frac{3}{70}$

12. $\frac{2}{9} \times \frac{5}{9} = \frac{2 \cdot 5}{9 \cdot 9} = \frac{10}{81}$
✔ Answer: $\frac{10}{81}$

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Row 5:

13. $\frac{1}{9} \times \frac{4}{7} = \frac{1 \cdot 4}{9 \cdot 7} = \frac{4}{63}$
✔ Answer: $\frac{4}{63}$

14. $\frac{6}{7} \times \frac{2}{3} = \frac{6 \cdot 2}{7 \cdot 3} = \frac{12}{21} = \frac{4}{7}$ (divide by 3)
✔ Answer: $\frac{4}{7}$

15. $12 \times \frac{5}{9} = \frac{12}{1} \times \frac{5}{9} = \frac{60}{9} = \frac{20}{3}$ or $6\frac{2}{3}$
✔ Answer: $\frac{20}{3}$ or $6\frac{2}{3}$

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Row 6:

16. $\frac{5}{6} \times \frac{1}{7} = \frac{5 \cdot 1}{6 \cdot 7} = \frac{5}{42}$
✔ Answer: $\frac{5}{42}$

17. $\frac{1}{12} \times 2 = \frac{1}{12} \times \frac{2}{1} = \frac{2}{12} = \frac{1}{6}$
✔ Answer: $\frac{1}{6}$

18. $\frac{1}{3} \times \frac{1}{4} = \frac{1 \cdot 1}{3 \cdot 4} = \frac{1}{12}$
✔ Answer: $\frac{1}{12}$

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Row 7:

19. $\frac{5}{12} \times 9 = \frac{5}{12} \times \frac{9}{1} = \frac{45}{12} = \frac{15}{4}$ or $3\frac{3}{4}$ (divide by 3)
✔ Answer: $\frac{15}{4}$ or $3\frac{3}{4}$

20. $7 \times \frac{5}{7} = \frac{7}{1} \times \frac{5}{7} = \frac{35}{7} = 5$
✔ Answer: $5$

21. $\frac{3}{4} \times \frac{1}{6} = \frac{3 \cdot 1}{4 \cdot 6} = \frac{3}{24} = \frac{1}{8}$ (divide by 3)
✔ Answer: $\frac{1}{8}$

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Row 8:

22. $\frac{1}{7} \times 21 = \frac{1}{7} \times \frac{21}{1} = \frac{21}{7} = 3$
✔ Answer: $3$

23. $\frac{5}{8} \times \frac{4}{10} = \frac{5 \cdot 4}{8 \cdot 10} = \frac{20}{80} = \frac{1}{4}$ (divide by 20)
✔ Answer: $\frac{1}{4}$

24. $4 \times \frac{1}{9} = \frac{4}{1} \times \frac{1}{9} = \frac{4}{9}$
✔ Answer: $\frac{4}{9}$

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Final Answer:

$\frac{3}{8}, \frac{1}{12}, \frac{3}{2}, \frac{9}{7}, \frac{18}{49}, \frac{5}{81}, \frac{2}{21}, \frac{6}{5}, 3, \frac{15}{4}, \frac{3}{70}, \frac{10}{81}, \frac{4}{63}, \frac{4}{7}, \frac{20}{3}, \frac{5}{42}, \frac{1}{6}, \frac{1}{12}, \frac{15}{4}, 5, \frac{1}{8}, 3, \frac{1}{4}, \frac{4}{9}$