Multiplying mixed numbers practice worksheet from Brighterly.

Let's solve each of these problems step by step. The task is to multiply mixed numbers. To do this, we follow these steps:

Steps to Multiply Mixed Numbers:

1. Convert each mixed number to an improper fraction.
2. Multiply the two improper fractions.
3. Simplify the result (if needed).
4. Convert back to a mixed number if necessary.

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Let’s go through each problem.

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1. $ 2\frac{2}{5} \times 2\frac{2}{13} $

- Convert:
$ 2\frac{2}{5} = \frac{12}{5} $
$ 2\frac{2}{13} = \frac{28}{13} $

- Multiply:
$ \frac{12}{5} \times \frac{28}{13} = \frac{336}{65} $

- Simplify and convert:
$ \frac{336}{65} = 5\frac{11}{65} $

✔ Answer: $ 5\frac{11}{65} $

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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:
$ \frac{319}{40} = 7\frac{39}{40} $

✔ Answer: $ 7\frac{39}{40} $

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

- Convert:
$ 2\frac{3}{4} = \frac{11}{4} $
$ 1\frac{2}{5} = \frac{7}{5} $

- Multiply:
$ \frac{11}{4} \times \frac{7}{5} = \frac{77}{20} $

- Convert:
$ \frac{77}{20} = 3\frac{17}{20} $

✔ Answer: $ 3\frac{17}{20} $

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4. $ 1\frac{4}{13} \times 3\frac{2}{5} $

- Convert:
$ 1\frac{4}{13} = \frac{17}{13} $
$ 3\frac{2}{5} = \frac{17}{5} $

- Multiply:
$ \frac{17}{13} \times \frac{17}{5} = \frac{289}{65} $

- Convert:
$ \frac{289}{65} = 4\frac{29}{65} $

✔ Answer: $ 4\frac{29}{65} $

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5. $ 1\frac{5}{8} \times 9\frac{6}{11} $

- Convert:
$ 1\frac{5}{8} = \frac{13}{8} $
$ 9\frac{6}{11} = \frac{105}{11} $

- Multiply:
$ \frac{13}{8} \times \frac{105}{11} = \frac{1365}{88} $

- Convert:
$ \frac{1365}{88} = 15\frac{45}{88} $

✔ Answer: $ 15\frac{45}{88} $

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6. $ 3\frac{1}{4} \times 2\frac{3}{10} $

- Convert:
$ 3\frac{1}{4} = \frac{13}{4} $
$ 2\frac{3}{10} = \frac{23}{10} $

- Multiply:
$ \frac{13}{4} \times \frac{23}{10} = \frac{299}{40} $

- Convert:
$ \frac{299}{40} = 7\frac{19}{40} $

✔ Answer: $ 7\frac{19}{40} $

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

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

- Multiply:
$ \frac{7}{3} \times \frac{7}{2} = \frac{49}{6} $

- Convert:
$ \frac{49}{6} = 8\frac{1}{6} $

✔ Answer: $ 8\frac{1}{6} $

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

Note: $ 2\frac{3}{6} = 2\frac{1}{2} $ (simplify first)

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

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

✔ Answer: $ 4 $

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9. $ 3\frac{4}{10} \times 3\frac{5}{12} $

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

- Convert:
$ 3\frac{2}{5} = \frac{17}{5} $
$ 3\frac{5}{12} = \frac{41}{12} $

- Multiply:
$ \frac{17}{5} \times \frac{41}{12} = \frac{697}{60} $

- Convert:
$ \frac{697}{60} = 11\frac{37}{60} $

✔ Answer: $ 11\frac{37}{60} $

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10. $ 2\frac{5}{8} \times 3\frac{4}{5} $

- Convert:
$ 2\frac{5}{8} = \frac{21}{8} $
$ 3\frac{4}{5} = \frac{19}{5} $

- Multiply:
$ \frac{21}{8} \times \frac{19}{5} = \frac{399}{40} $

- Convert:
$ \frac{399}{40} = 9\frac{39}{40} $

✔ Answer: $ 9\frac{39}{40} $

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11. $ 2\frac{6}{8} \times 2\frac{1}{4} $

Simplify $ 2\frac{6}{8} = 2\frac{3}{4} $

- Convert:
$ 2\frac{3}{4} = \frac{11}{4} $
$ 2\frac{1}{4} = \frac{9}{4} $

- Multiply:
$ \frac{11}{4} \times \frac{9}{4} = \frac{99}{16} $

- Convert:
$ \frac{99}{16} = 6\frac{3}{16} $

✔ Answer: $ 6\frac{3}{16} $

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

- Convert:
$ 1\frac{4}{5} = \frac{9}{5} $
$ 2\frac{1}{12} = \frac{25}{12} $

- Multiply:
$ \frac{9}{5} \times \frac{25}{12} = \frac{225}{60} = \frac{15}{4} $ (simplified)

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

✔ Answer: $ 3\frac{3}{4} $

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13. $ 3\frac{3}{4} \times 1\frac{3}{8} $

- Convert:
$ 3\frac{3}{4} = \frac{15}{4} $
$ 1\frac{3}{8} = \frac{11}{8} $

- Multiply:
$ \frac{15}{4} \times \frac{11}{8} = \frac{165}{32} $

- Convert:
$ \frac{165}{32} = 5\frac{5}{32} $

✔ Answer: $ 5\frac{5}{32} $

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

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

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

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

- Convert:
$ \frac{25}{6} = 4\frac{1}{6} $

✔ Answer: $ 4\frac{1}{6} $

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✔ Final Answers:

1. $ 5\frac{11}{65} $
2. $ 7\frac{39}{40} $
3. $ 3\frac{17}{20} $
4. $ 4\frac{29}{65} $
5. $ 15\frac{45}{88} $
6. $ 7\frac{19}{40} $
7. $ 8\frac{1}{6} $
8. $ 4 $
9. $ 11\frac{37}{60} $
10. $ 9\frac{39}{40} $
11. $ 6\frac{3}{16} $
12. $ 3\frac{3}{4} $
13. $ 5\frac{5}{32} $
14. $ 4\frac{1}{6} $

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