Grade 6 Mental Math Worksheets | Free Printables - Free Printable

Let's solve each of these fraction multiplication problems step by step. The goal is to multiply the fractions and simplify the result, where possible.

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Rule for Multiplying Fractions:

To multiply two fractions:
$$
\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}
$$
Then simplify the resulting fraction if possible.

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We'll go through each problem:

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1. $\frac{8}{11} \times \frac{5}{6} = \frac{8 \times 5}{11 \times 6} = \frac{40}{66}$
Simplify: divide numerator and denominator by 2 → $\frac{20}{33}$

✔ Answer: $\frac{20}{33}$

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2. $\frac{2}{2} \times \frac{5}{6} = 1 \times \frac{5}{6} = \frac{5}{6}$
(Since $\frac{2}{2} = 1$)

✔ Answer: $\frac{5}{6}$

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3. $\frac{3}{4} \times \frac{2}{2} = \frac{3}{4} \times 1 = \frac{3}{4}$

✔ Answer: $\frac{3}{4}$

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4. $\frac{3}{4} \times \frac{4}{5} = \frac{3 \times 4}{4 \times 5} = \frac{12}{20}$
Simplify: divide by 4 → $\frac{3}{5}$

✔ Answer: $\frac{3}{5}$

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5. $\frac{3}{5} \times \frac{1}{8} = \frac{3 \times 1}{5 \times 8} = \frac{3}{40}$

✔ Answer: $\frac{3}{40}$

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6. $\frac{7}{10} \times \frac{3}{3} = \frac{7}{10} \times 1 = \frac{7}{10}$

✔ Answer: $\frac{7}{10}$

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7. $\frac{1}{9} \times \frac{3}{4} = \frac{1 \times 3}{9 \times 4} = \frac{3}{36} = \frac{1}{12}$

✔ Answer: $\frac{1}{12}$

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8. $\frac{5}{9} \times \frac{1}{8} = \frac{5 \times 1}{9 \times 8} = \frac{5}{72}$

✔ Answer: $\frac{5}{72}$

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9. $\frac{7}{4} \times \frac{8}{12} = \frac{7 \times 8}{4 \times 12} = \frac{56}{48}$
Simplify: divide by 8 → $\frac{7}{6}$
Or as a mixed number: $1 \frac{1}{6}$

✔ Answer: $\frac{7}{6}$ or $1\frac{1}{6}$

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10. $\frac{12}{2} \times \frac{3}{4} = 6 \times \frac{3}{4} = \frac{18}{4} = \frac{9}{2} = 4\frac{1}{2}$

✔ Answer: $\frac{9}{2}$ or $4\frac{1}{2}$

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11. $\frac{8}{10} \times \frac{7}{12} = \frac{4}{5} \times \frac{7}{12} = \frac{28}{60} = \frac{7}{15}$

✔ Answer: $\frac{7}{15}$

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12. $\frac{5}{12} \times \frac{4}{4} = \frac{5}{12} \times 1 = \frac{5}{12}$

✔ Answer: $\frac{5}{12}$

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13. $\frac{10}{10} \times \frac{2}{2} = 1 \times 1 = 1$

✔ Answer: $1$

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14. $\frac{1}{12} \times \frac{2}{2} = \frac{1}{12} \times 1 = \frac{1}{12}$

✔ Answer: $\frac{1}{12}$

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15. $\frac{1}{6} \times \frac{3}{8} = \frac{3}{48} = \frac{1}{16}$

✔ Answer: $\frac{1}{16}$

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16. $\frac{4}{10} \times \frac{6}{8} = \frac{2}{5} \times \frac{3}{4} = \frac{6}{20} = \frac{3}{10}$

✔ Answer: $\frac{3}{10}$

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17. $\frac{3}{5} \times \frac{4}{1} = \frac{12}{5} = 2\frac{2}{5}$

✔ Answer: $\frac{12}{5}$ or $2\frac{2}{5}$

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18. $\frac{11}{11} \times \frac{1}{3} = 1 \times \frac{1}{3} = \frac{1}{3}$

✔ Answer: $\frac{1}{3}$

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19. $\frac{4}{10} \times \frac{7}{10} = \frac{2}{5} \times \frac{7}{10} = \frac{14}{50} = \frac{7}{25}$

✔ Answer: $\frac{7}{25}$

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20. $\frac{6}{2} \times \frac{6}{2} = 3 \times 3 = 9$

✔ Answer: $9$

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21. $\frac{4}{6} \times \frac{1}{3} = \frac{2}{3} \times \frac{1}{3} = \frac{2}{9}$

✔ Answer: $\frac{2}{9}$

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22. $\frac{2}{6} \times \frac{2}{2} = \frac{1}{3} \times 1 = \frac{1}{3}$

✔ Answer: $\frac{1}{3}$

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23. $\frac{5}{8} \times \frac{12}{12} = \frac{5}{8} \times 1 = \frac{5}{8}$

✔ Answer: $\frac{5}{8}$

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24. $\frac{3}{3} \times \frac{1}{3} = 1 \times \frac{1}{3} = \frac{1}{3}$

✔ Answer: $\frac{1}{3}$

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✔ Final Answers (in order):

1. $\frac{20}{33}$
2. $\frac{5}{6}$
3. $\frac{3}{4}$
4. $\frac{3}{5}$
5. $\frac{3}{40}$
6. $\frac{7}{10}$
7. $\frac{1}{12}$
8. $\frac{5}{72}$
9. $\frac{7}{6}$ or $1\frac{1}{6}$
10. $\frac{9}{2}$ or $4\frac{1}{2}$
11. $\frac{7}{15}$
12. $\frac{5}{12}$
13. $1$
14. $\frac{1}{12}$
15. $\frac{1}{16}$
16. $\frac{3}{10}$
17. $\frac{12}{5}$ or $2\frac{2}{5}$
18. $\frac{1}{3}$
19. $\frac{7}{25}$
20. $9$
21. $\frac{2}{9}$
22. $\frac{1}{3}$
23. $\frac{5}{8}$
24. $\frac{1}{3}$

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Let me know if you'd like these written in a formatted table!