Grade 6 Multiplying Fractions Worksheets | Free Worksheets ... - Free Printable

Let's solve each of the fraction multiplication problems step by step. The rule for multiplying fractions is:

> Multiply the numerators together, and multiply the denominators together, then simplify if possible.

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First Set (Top Half)

1. $ \frac{1}{5} \times \frac{2}{3} = \frac{1 \times 2}{5 \times 3} = \frac{2}{15} $

2. $ \frac{3}{7} \times \frac{1}{2} = \frac{3 \times 1}{7 \times 2} = \frac{3}{14} $

3. $ \frac{8}{15} \times \frac{5}{6} = \frac{8 \times 5}{15 \times 6} = \frac{40}{90} = \frac{4}{9} $
*(Simplify: divide numerator and denominator by 10)*

4. $ \frac{1}{5} \times \frac{10}{11} = \frac{1 \times 10}{5 \times 11} = \frac{10}{55} = \frac{2}{11} $
*(Simplify: divide by 5)*

5. $ \frac{5}{8} \times \frac{1}{4} = \frac{5 \times 1}{8 \times 4} = \frac{5}{32} $

6. $ \frac{5}{12} \times \frac{3}{10} = \frac{5 \times 3}{12 \times 10} = \frac{15}{120} = \frac{1}{8} $
*(Simplify: divide by 15)*

7. $ \frac{5}{12} \times \frac{6}{15} = \frac{5 \times 6}{12 \times 15} = \frac{30}{180} = \frac{1}{6} $
*(Simplify: divide by 30)*

8. $ \frac{3}{10} \times \frac{2}{9} = \frac{3 \times 2}{10 \times 9} = \frac{6}{90} = \frac{1}{15} $
*(Simplify: divide by 6)*

9. $ \frac{3}{10} \times \frac{5}{6} = \frac{3 \times 5}{10 \times 6} = \frac{15}{60} = \frac{1}{4} $
*(Simplify: divide by 15)*

10. $ \frac{1}{5} \times \frac{1}{2} = \frac{1 \times 1}{5 \times 2} = \frac{1}{10} $

11. $ \frac{11}{10} \times \frac{10}{22} = \frac{11 \times 10}{10 \times 22} = \frac{110}{220} = \frac{1}{2} $
*(Simplify: divide by 110)*

12. $ \frac{4}{7} \times \frac{5}{16} = \frac{4 \times 5}{7 \times 16} = \frac{20}{112} = \frac{5}{28} $
*(Simplify: divide by 4)*

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Second Set (Bottom Half)

1. $ \frac{9}{25} \times \frac{5}{18} = \frac{9 \times 5}{25 \times 18} = \frac{45}{450} = \frac{1}{10} $
*(Simplify: divide by 45)*

2. $ \frac{5}{12} \times \frac{9}{15} = \frac{5 \times 9}{12 \times 15} = \frac{45}{180} = \frac{1}{4} $
*(Simplify: divide by 45)*

3. $ \frac{6}{7} \times \frac{3}{10} = \frac{6 \times 3}{7 \times 10} = \frac{18}{70} = \frac{9}{35} $
*(Simplify: divide by 2)*

4. $ \frac{7}{18} \times \frac{2}{3} = \frac{7 \times 2}{18 \times 3} = \frac{14}{54} = \frac{7}{27} $
*(Simplify: divide by 2)*

5. $ \frac{6}{14} \times \frac{7}{8} = \frac{6 \times 7}{14 \times 8} = \frac{42}{112} = \frac{3}{8} $
*(Simplify: divide by 14)*

6. $ \frac{3}{15} \times \frac{5}{9} = \frac{3 \times 5}{15 \times 9} = \frac{15}{135} = \frac{1}{9} $
*(Simplify: divide by 15)*

7. $ \frac{1}{10} \times \frac{10}{17} = \frac{1 \times 10}{10 \times 17} = \frac{10}{170} = \frac{1}{17} $
*(Simplify: divide by 10)*

8. $ \frac{5}{14} \times \frac{2}{5} = \frac{5 \times 2}{14 \times 5} = \frac{10}{70} = \frac{1}{7} $
*(Simplify: divide by 10)*

9. $ \frac{8}{21} \times \frac{3}{4} = \frac{8 \times 3}{21 \times 4} = \frac{24}{84} = \frac{2}{7} $
*(Simplify: divide by 12)*

10. $ \frac{5}{12} \times \frac{6}{4} = \frac{5 \times 6}{12 \times 4} = \frac{30}{48} = \frac{5}{8} $
*(Simplify: divide by 6)*

11. $ \frac{3}{5} \times \frac{20}{21} = \frac{3 \times 20}{5 \times 21} = \frac{60}{105} = \frac{4}{7} $
*(Simplify: divide by 15)*

12. $ \frac{2}{7} \times \frac{14}{10} = \frac{2 \times 14}{7 \times 10} = \frac{28}{70} = \frac{2}{5} $
*(Simplify: divide by 14)*

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✔ Final Answers:

#### First Set:
1. $ \frac{2}{15} $
2. $ \frac{3}{14} $
3. $ \frac{4}{9} $
4. $ \frac{2}{11} $
5. $ \frac{5}{32} $
6. $ \frac{1}{8} $
7. $ \frac{1}{6} $
8. $ \frac{1}{15} $
9. $ \frac{1}{4} $
10. $ \frac{1}{10} $
11. $ \frac{1}{2} $
12. $ \frac{5}{28} $

#### Second Set:
1. $ \frac{1}{10} $
2. $ \frac{1}{4} $
3. $ \frac{9}{35} $
4. $ \frac{7}{27} $
5. $ \frac{3}{8} $
6. $ \frac{1}{9} $
7. $ \frac{1}{17} $
8. $ \frac{1}{7} $
9. $ \frac{2}{7} $
10. $ \frac{5}{8} $
11. $ \frac{4}{7} $
12. $ \frac{2}{5} $

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✔ All answers are simplified to lowest terms.

Let me know if you'd like this as a printable answer key!