Math worksheet for practicing multiplication of mixed numbers.

Sure! Let’s solve each problem step by step. The task is to multiply mixed numbers by whole numbers and express the answer as a mixed number.

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📌 General Method:

1. Convert the mixed number to an improper fraction.
2. Multiply the improper fraction by the whole number (treat the whole number as a fraction over 1).
3. Simplify the result if possible.
4. Convert back to a mixed number.

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Let’s go row by row:

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🔹 Row 1:

1. \( 2\frac{1}{2} \times 3 \)

- \( 2\frac{1}{2} = \frac{5}{2} \)
- \( \frac{5}{2} \times 3 = \frac{15}{2} = 7\frac{1}{2} \)

✔ Answer: \( 7\frac{1}{2} \)

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2. \( 2\frac{1}{5} \times 4 \)

- \( 2\frac{1}{5} = \frac{11}{5} \)
- \( \frac{11}{5} \times 4 = \frac{44}{5} = 8\frac{4}{5} \)

✔ Answer: \( 8\frac{4}{5} \)

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🔹 Row 2:

3. \( 1\frac{1}{4} \times 6 \)

- \( 1\frac{1}{4} = \frac{5}{4} \)
- \( \frac{5}{4} \times 6 = \frac{30}{4} = \frac{15}{2} = 7\frac{1}{2} \)

✔ Answer: \( 7\frac{1}{2} \)

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4. \( 2\frac{1}{7} \times 2 \)

- \( 2\frac{1}{7} = \frac{15}{7} \)
- \( \frac{15}{7} \times 2 = \frac{30}{7} = 4\frac{2}{7} \)

✔ Answer: \( 4\frac{2}{7} \)

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🔹 Row 3:

5. \( 4\frac{1}{5} \times 6 \)

- \( 4\frac{1}{5} = \frac{21}{5} \)
- \( \frac{21}{5} \times 6 = \frac{126}{5} = 25\frac{1}{5} \)

✔ Answer: \( 25\frac{1}{5} \)

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6. \( 2\frac{3}{8} \times 5 \)

- \( 2\frac{3}{8} = \frac{19}{8} \)
- \( \frac{19}{8} \times 5 = \frac{95}{8} = 11\frac{7}{8} \)

✔ Answer: \( 11\frac{7}{8} \)

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7. \( 2\frac{3}{5} \times 3 \)

- \( 2\frac{3}{5} = \frac{13}{5} \)
- \( \frac{13}{5} \times 3 = \frac{39}{5} = 7\frac{4}{5} \)

✔ Answer: \( 7\frac{4}{5} \)

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🔹 Row 4:

8. \( 3\frac{2}{3} \times 2 \)

- \( 3\frac{2}{3} = \frac{11}{3} \)
- \( \frac{11}{3} \times 2 = \frac{22}{3} = 7\frac{1}{3} \)

✔ Answer: \( 7\frac{1}{3} \)

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9. \( 1\frac{5}{8} \times 5 \)

- \( 1\frac{5}{8} = \frac{13}{8} \)
- \( \frac{13}{8} \times 5 = \frac{65}{8} = 8\frac{1}{8} \)

✔ Answer: \( 8\frac{1}{8} \)

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10. \( 1\frac{3}{8} \times 4 \)

- \( 1\frac{3}{8} = \frac{11}{8} \)
- \( \frac{11}{8} \times 4 = \frac{44}{8} = \frac{11}{2} = 5\frac{1}{2} \)

✔ Answer: \( 5\frac{1}{2} \)

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🔹 Row 5:

11. \( 3\frac{7}{8} \times 2 \)

- \( 3\frac{7}{8} = \frac{31}{8} \)
- \( \frac{31}{8} \times 2 = \frac{62}{8} = \frac{31}{4} = 7\frac{3}{4} \)

✔ Answer: \( 7\frac{3}{4} \)

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12. \( 2\frac{5}{8} \times 3 \)

- \( 2\frac{5}{8} = \frac{21}{8} \)
- \( \frac{21}{8} \times 3 = \frac{63}{8} = 7\frac{7}{8} \)

✔ Answer: \( 7\frac{7}{8} \)

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13. \( 1\frac{4}{7} \times 3 \)

- \( 1\frac{4}{7} = \frac{11}{7} \)
- \( \frac{11}{7} \times 3 = \frac{33}{7} = 4\frac{5}{7} \)

✔ Answer: \( 4\frac{5}{7} \)

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🔹 Row 6:

14. \( 2\frac{1}{5} \times 3 \)

- \( 2\frac{1}{5} = \frac{11}{5} \)
- \( \frac{11}{5} \times 3 = \frac{33}{5} = 6\frac{3}{5} \)

✔ Answer: \( 6\frac{3}{5} \)

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15. \( 4\frac{1}{9} \times 3 \)

- \( 4\frac{1}{9} = \frac{37}{9} \)
- \( \frac{37}{9} \times 3 = \frac{111}{9} = \frac{37}{3} = 12\frac{1}{3} \)

✔ Answer: \( 12\frac{1}{3} \)

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16. \( 2\frac{1}{3} \times 4 \)

- \( 2\frac{1}{3} = \frac{7}{3} \)
- \( \frac{7}{3} \times 4 = \frac{28}{3} = 9\frac{1}{3} \)

✔ Answer: \( 9\frac{1}{3} \)

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🔹 Row 7:

17. \( 3\frac{1}{5} \times 6 \)

- \( 3\frac{1}{5} = \frac{16}{5} \)
- \( \frac{16}{5} \times 6 = \frac{96}{5} = 19\frac{1}{5} \)

✔ Answer: \( 19\frac{1}{5} \)

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18. \( 3\frac{1}{8} \times 2 \)

- \( 3\frac{1}{8} = \frac{25}{8} \)
- \( \frac{25}{8} \times 2 = \frac{50}{8} = \frac{25}{4} = 6\frac{1}{4} \)

✔ Answer: \( 6\frac{1}{4} \)

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19. \( 3\frac{3}{7} \times 5 \)

- \( 3\frac{3}{7} = \frac{24}{7} \)
- \( \frac{24}{7} \times 5 = \frac{120}{7} = 17\frac{1}{7} \)

✔ Answer: \( 17\frac{1}{7} \)

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🔹 Row 8:

20. \( 5\frac{4}{7} \times 2 \)

- \( 5\frac{4}{7} = \frac{39}{7} \)
- \( \frac{39}{7} \times 2 = \frac{78}{7} = 11\frac{1}{7} \)

✔ Answer: \( 11\frac{1}{7} \)

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21. \( 2\frac{2}{6} \times 5 \) → First simplify \( \frac{2}{6} = \frac{1}{3} \), so \( 2\frac{1}{3} \)

- \( 2\frac{1}{3} = \frac{7}{3} \)
- \( \frac{7}{3} \times 5 = \frac{35}{3} = 11\frac{2}{3} \)

✔ Answer: \( 11\frac{2}{3} \)

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22. \( 4\frac{1}{2} \times 3 \)

- \( 4\frac{1}{2} = \frac{9}{2} \)
- \( \frac{9}{2} \times 3 = \frac{27}{2} = 13\frac{1}{2} \)

✔ Answer: \( 13\frac{1}{2} \)

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## ✔ Final Answer Key (All Problems):

| Problem | Answer |
|---------|---------------|
| 1 | \( 7\frac{1}{2} \) |
| 2 | \( 8\frac{4}{5} \) |
| 3 | \( 7\frac{1}{2} \) |
| 4 | \( 4\frac{2}{7} \) |
| 5 | \( 25\frac{1}{5} \) |
| 6 | \( 11\frac{7}{8} \) |
| 7 | \( 7\frac{4}{5} \) |
| 8 | \( 7\frac{1}{3} \) |
| 9 | \( 8\frac{1}{8} \) |
| 10 | \( 5\frac{1}{2} \) |
| 11 | \( 7\frac{3}{4} \) |
| 12 | \( 7\frac{7}{8} \) |
| 13 | \( 4\frac{5}{7} \) |
| 14 | \( 6\frac{3}{5} \) |
| 15 | \( 12\frac{1}{3} \) |
| 16 | \( 9\frac{1}{3} \) |
| 17 | \( 19\frac{1}{5} \) |
| 18 | \( 6\frac{1}{4} \) |
| 19 | \( 17\frac{1}{7} \) |
| 20 | \( 11\frac{1}{7} \) |
| 21 | \( 11\frac{2}{3} \) |
| 22 | \( 13\frac{1}{2} \) |

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✔ All problems solved and answers given in mixed number form as requested!

Let me know if you’d like a printable version or worksheet with these answers filled in!