Worksheets for fraction multiplication - Free Printable

Sure! Let’s solve each of the 14 problems on the worksheet: Multiplying Mixed Numbers.

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✔ General Strategy:

To multiply mixed numbers:
1. Convert each mixed number to an improper fraction.
2. Multiply the numerators together and denominators together.
3. Simplify the result (reduce if possible).
4. Convert back to a mixed number if needed.

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Let’s go problem by problem:

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1. $ 2\frac{3}{8} \times 2\frac{2}{12} $

First, simplify $ 2\frac{2}{12} = 2\frac{1}{6} $

Convert to improper fractions:
- $ 2\frac{3}{8} = \frac{19}{8} $
- $ 2\frac{1}{6} = \frac{13}{6} $

Multiply:
$ \frac{19}{8} \times \frac{13}{6} = \frac{247}{48} $

Convert to mixed number:
$ 247 ÷ 48 = 5 $ remainder $ 7 $ → $ \boxed{5\frac{7}{48}} $

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2. $ 3\frac{5}{8} \times 2\frac{1}{5} $

Convert:
- $ 3\frac{5}{8} = \frac{29}{8} $
- $ 2\frac{1}{5} = \frac{11}{5} $

Multiply:
$ \frac{29}{8} \times \frac{11}{5} = \frac{319}{40} $

Convert:
$ 319 ÷ 40 = 7 $ remainder $ 39 $ → $ \boxed{7\frac{39}{40}} $

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

Convert:
- $ 2\frac{3}{4} = \frac{11}{4} $
- $ 1\frac{2}{3} = \frac{5}{3} $

Multiply:
$ \frac{11}{4} \times \frac{5}{3} = \frac{55}{12} $

Convert:
$ 55 ÷ 12 = 4 $ remainder $ 7 $ → $ \boxed{4\frac{7}{12}} $

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4. $ 1\frac{4}{12} \times 3\frac{3}{4} $

Simplify $ 1\frac{4}{12} = 1\frac{1}{3} = \frac{4}{3} $

$ 3\frac{3}{4} = \frac{15}{4} $

Multiply:
$ \frac{4}{3} \times \frac{15}{4} = \frac{60}{12} = 5 $

→ $ \boxed{5} $

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5. $ 1\frac{5}{6} \times 3\frac{5}{8} $

Convert:
- $ 1\frac{5}{6} = \frac{11}{6} $
- $ 3\frac{5}{8} = \frac{29}{8} $

Multiply:
$ \frac{11}{6} \times \frac{29}{8} = \frac{319}{48} $

Convert:
$ 319 ÷ 48 = 6 $ remainder $ 31 $ → $ \boxed{6\frac{31}{48}} $

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6. $ 3\frac{3}{4} \times 2\frac{3}{10} $

Convert:
- $ 3\frac{3}{4} = \frac{15}{4} $
- $ 2\frac{3}{10} = \frac{23}{10} $

Multiply:
$ \frac{15}{4} \times \frac{23}{10} = \frac{345}{40} $

Simplify: divide numerator and denominator by 5 → $ \frac{69}{8} $

Convert:
$ 69 ÷ 8 = 8 $ remainder $ 5 $ → $ \boxed{8\frac{5}{8}} $

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

Convert:
- $ 2\frac{1}{2} = \frac{5}{2} $
- $ 3\frac{1}{2} = \frac{7}{2} $

Multiply:
$ \frac{5}{2} \times \frac{7}{2} = \frac{35}{4} $

Convert:
$ 35 ÷ 4 = 8 $ remainder $ 3 $ → $ \boxed{8\frac{3}{4}} $

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8. $ 1\frac{3}{5} \times 2\frac{3}{6} $

Simplify $ 2\frac{3}{6} = 2\frac{1}{2} = \frac{5}{2} $

$ 1\frac{3}{5} = \frac{8}{5} $

Multiply:
$ \frac{8}{5} \times \frac{5}{2} = \frac{40}{10} = 4 $

→ $ \boxed{4} $

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9. $ 3\frac{4}{10} \times 3\frac{5}{7} $

Simplify $ 3\frac{4}{10} = 3\frac{2}{5} = \frac{17}{5} $

$ 3\frac{5}{7} = \frac{26}{7} $

Multiply:
$ \frac{17}{5} \times \frac{26}{7} = \frac{442}{35} $

Convert:
$ 442 ÷ 35 = 12 $ remainder $ 22 $ → $ \boxed{12\frac{22}{35}} $

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10. $ 5\frac{5}{8} \times 3\frac{4}{9} $

Convert:
- $ 5\frac{5}{8} = \frac{45}{8} $
- $ 3\frac{4}{9} = \frac{31}{9} $

Multiply:
$ \frac{45}{8} \times \frac{31}{9} = \frac{1395}{72} $

Simplify: divide numerator and denominator by 9 → $ \frac{155}{8} $

Convert:
$ 155 ÷ 8 = 19 $ remainder $ 3 $ → $ \boxed{19\frac{3}{8}} $

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11. $ 2\frac{5}{6} \times 2\frac{1}{4} $

Convert:
- $ 2\frac{5}{6} = \frac{17}{6} $
- $ 2\frac{1}{4} = \frac{9}{4} $

Multiply:
$ \frac{17}{6} \times \frac{9}{4} = \frac{153}{24} $

Simplify: divide by 3 → $ \frac{51}{8} $

Convert:
$ 51 ÷ 8 = 6 $ remainder $ 3 $ → $ \boxed{6\frac{3}{8}} $

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

Convert:
- $ 4\frac{4}{5} = \frac{24}{5} $
- $ 2\frac{1}{12} = \frac{25}{12} $

Multiply:
$ \frac{24}{5} \times \frac{25}{12} = \frac{600}{60} = 10 $

→ $ \boxed{10} $

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13. $ 3\frac{3}{4} \times 1\frac{3}{9} $

Simplify $ 1\frac{3}{9} = 1\frac{1}{3} = \frac{4}{3} $

$ 3\frac{3}{4} = \frac{15}{4} $

Multiply:
$ \frac{15}{4} \times \frac{4}{3} = \frac{60}{12} = 5 $

→ $ \boxed{5} $

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14. $ 2\frac{1}{2} \times 1\frac{4}{6} $

Simplify $ 1\frac{4}{6} = 1\frac{2}{3} = \frac{5}{3} $

$ 2\frac{1}{2} = \frac{5}{2} $

Multiply:
$ \frac{5}{2} \times \frac{5}{3} = \frac{25}{6} $

Convert:
$ 25 ÷ 6 = 4 $ remainder $ 1 $ → $ \boxed{4\frac{1}{6}} $

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## ✔ Final Answers:

1. $ \boxed{5\frac{7}{48}} $
2. $ \boxed{7\frac{39}{40}} $
3. $ \boxed{4\frac{7}{12}} $
4. $ \boxed{5} $
5. $ \boxed{6\frac{31}{48}} $
6. $ \boxed{8\frac{5}{8}} $
7. $ \boxed{8\frac{3}{4}} $
8. $ \boxed{4} $
9. $ \boxed{12\frac{22}{35}} $
10. $ \boxed{19\frac{3}{8}} $
11. $ \boxed{6\frac{3}{8}} $
12. $ \boxed{10} $
13. $ \boxed{5} $
14. $ \boxed{4\frac{1}{6}} $

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Let me know if you’d like a printable version or step-by-step work shown for any specific problem! 😊