Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

To solve the problem of multiplying mixed numbers, we follow a standard procedure:

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✔ Step-by-Step Method:

1. Convert each mixed number to an improper fraction.
- Multiply the whole number by the denominator, add the numerator, and place over the original denominator.
2. Multiply the two improper fractions.
- Multiply numerators together, multiply denominators together.
3. Simplify the resulting fraction (if possible).
4. Convert back to a mixed number (if needed or requested).

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Let’s solve each problem one by one.

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1) $ 4\frac{9}{10} \times 4\frac{1}{2} $

- Convert:
$ 4\frac{9}{10} = \frac{4 \times 10 + 9}{10} = \frac{49}{10} $
$ 4\frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{9}{2} $

- Multiply:
$ \frac{49}{10} \times \frac{9}{2} = \frac{441}{20} $

- Simplify/Convert:
$ \frac{441}{20} = 22\frac{1}{20} $

✔ Answer: $ \boxed{22\frac{1}{20}} $

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2) $ 2\frac{1}{2} \times 3\frac{3}{5} $

- Convert:
$ 2\frac{1}{2} = \frac{5}{2} $
$ 3\frac{3}{5} = \frac{18}{5} $

- Multiply:
$ \frac{5}{2} \times \frac{18}{5} = \frac{90}{10} = 9 $

✔ Answer: $ \boxed{9} $

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

- Convert:
$ 2\frac{1}{2} = \frac{5}{2} $
$ 4\frac{1}{3} = \frac{13}{3} $

- Multiply:
$ \frac{5}{2} \times \frac{13}{3} = \frac{65}{6} $

- Convert:
$ \frac{65}{6} = 10\frac{5}{6} $

✔ Answer: $ \boxed{10\frac{5}{6}} $

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

- Convert:
$ 3\frac{1}{2} = \frac{7}{2} $
$ 3\frac{2}{3} = \frac{11}{3} $

- Multiply:
$ \frac{7}{2} \times \frac{11}{3} = \frac{77}{6} $

- Convert:
$ \frac{77}{6} = 12\frac{5}{6} $

✔ Answer: $ \boxed{12\frac{5}{6}} $

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5) $ 3\frac{1}{2} \times 2\frac{2}{3} $

- Convert:
$ 3\frac{1}{2} = \frac{7}{2} $
$ 2\frac{2}{3} = \frac{8}{3} $

- Multiply:
$ \frac{7}{2} \times \frac{8}{3} = \frac{56}{6} = \frac{28}{3} $

- Convert:
$ \frac{28}{3} = 9\frac{1}{3} $

✔ Answer: $ \boxed{9\frac{1}{3}} $

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6) $ 2\frac{7}{10} \times 4\frac{3}{4} $

- Convert:
$ 2\frac{7}{10} = \frac{27}{10} $
$ 4\frac{3}{4} = \frac{19}{4} $

- Multiply:
$ \frac{27}{10} \times \frac{19}{4} = \frac{513}{40} $

- Convert:
$ \frac{513}{40} = 12\frac{33}{40} $

✔ Answer: $ \boxed{12\frac{33}{40}} $

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7) $ 2\frac{1}{2} \times 4\frac{4}{5} $

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

- Multiply:
$ \frac{5}{2} \times \frac{24}{5} = \frac{120}{10} = 12 $

✔ Answer: $ \boxed{12} $

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8) $ 4\frac{4}{5} \times 4\frac{1}{3} $

- Convert:
$ 4\frac{4}{5} = \frac{24}{5} $
$ 4\frac{1}{3} = \frac{13}{3} $

- Multiply:
$ \frac{24}{5} \times \frac{13}{3} = \frac{312}{15} = \frac{104}{5} $

- Convert:
$ \frac{104}{5} = 20\frac{4}{5} $

✔ Answer: $ \boxed{20\frac{4}{5}} $

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9) $ 4\frac{1}{2} \times 3\frac{1}{5} $

- Convert:
$ 4\frac{1}{2} = \frac{9}{2} $
$ 3\frac{1}{5} = \frac{16}{5} $

- Multiply:
$ \frac{9}{2} \times \frac{16}{5} = \frac{144}{10} = \frac{72}{5} $

- Convert:
$ \frac{72}{5} = 14\frac{2}{5} $

✔ Answer: $ \boxed{14\frac{2}{5}} $

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10) $ 2\frac{1}{2} \times 2\frac{1}{4} $

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

- Multiply:
$ \frac{5}{2} \times \frac{9}{4} = \frac{45}{8} $

- Convert:
$ \frac{45}{8} = 5\frac{5}{8} $

✔ Answer: $ \boxed{5\frac{5}{8}} $

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## 📝 Final Answers Summary:

1) $ \boxed{22\frac{1}{20}} $
2) $ \boxed{9} $
3) $ \boxed{10\frac{5}{6}} $
4) $ \boxed{12\frac{5}{6}} $
5) $ \boxed{9\frac{1}{3}} $
6) $ \boxed{12\frac{33}{40}} $
7) $ \boxed{12} $
8) $ \boxed{20\frac{4}{5}} $
9) $ \boxed{14\frac{2}{5}} $
10) $ \boxed{5\frac{5}{8}} $

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Let me know if you’d like a worksheet with these answers or step-by-step visuals!