Multiplying Mixed Numbers Worksheets - 15 Worksheets Library - Free Printable

Absolutely! Let’s solve each problem on this 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 the denominators together.
3. Simplify the resulting fraction (reduce to lowest terms).
4. If needed, convert back to a mixed number.

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Let’s go problem by problem.

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🔢 Problem 1:

3 2/5 × 1 4/10

- Convert:
3 2/5 = (3×5 + 2)/5 = 17/5
1 4/10 = (1×10 + 4)/10 = 14/10 → simplify to 7/5

- Multiply:
(17/5) × (7/5) = 119/25

- Convert to mixed number:
119 ÷ 25 = 4 with remainder 19 → 4 19/25

✔ Answer: 4 19/25

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🔢 Problem 2:

4 3/6 × 2 3/9

- Simplify first:
4 3/6 = 4 1/2 = 9/2
2 3/9 = 2 1/3 = 7/3

- Multiply:
(9/2) × (7/3) = 63/6 → simplify: divide numerator and denominator by 3 → 21/2

- Convert: 21 ÷ 2 = 10 R1 → 10 1/2

✔ Answer: 10 1/2

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🔢 Problem 3:

3 2/8 × 2 10/16

- Simplify fractions:
3 2/8 = 3 1/4 = 13/4
2 10/16 = 2 5/8 = 21/8

- Multiply:
(13/4) × (21/8) = 273/32

- Convert: 273 ÷ 32 = 8 R17 → 8 17/32

✔ Answer: 8 17/32

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🔢 Problem 4:

2 12/20 × 1 11/16

- Simplify:
2 12/20 = 2 3/5 = 13/5
1 11/16 = 27/16

- Multiply:
(13/5) × (27/16) = 351/80

- Convert: 351 ÷ 80 = 4 R31 → 4 31/80

✔ Answer: 4 31/80

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🔢 Problem 5:

4 3/9 × 3 2/8

- Simplify:
4 3/9 = 4 1/3 = 13/3
3 2/8 = 3 1/4 = 13/4

- Multiply:
(13/3) × (13/4) = 169/12

- Convert: 169 ÷ 12 = 14 R1 → 14 1/12

✔ Answer: 14 1/12

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🔢 Problem 6:

2 5/8 × 1 3/6

- Simplify:
2 5/8 = 21/8
1 3/6 = 1 1/2 = 3/2

- Multiply:
(21/8) × (3/2) = 63/16

- Convert: 63 ÷ 16 = 3 R15 → 3 15/16

✔ Answer: 3 15/16

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🔢 Problem 7:

3 2/4 × 2 3/5

- Simplify:
3 2/4 = 3 1/2 = 7/2
2 3/5 = 13/5

- Multiply:
(7/2) × (13/5) = 91/10

- Convert: 91 ÷ 10 = 9 R1 → 9 1/10

✔ Answer: 9 1/10

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🔢 Problem 8:

5 4/8 × 2 6/9

- Simplify:
5 4/8 = 5 1/2 = 11/2
2 6/9 = 2 2/3 = 8/3

- Multiply:
(11/2) × (8/3) = 88/6 → simplify: divide by 2 → 44/3

- Convert: 44 ÷ 3 = 14 R2 → 14 2/3

✔ Answer: 14 2/3

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🔢 Problem 9:

4 3/0 × 2 5/9 → ❗Wait — 4 3/0 is undefined! You can’t divide by zero.

This appears to be a typo in the worksheet. Probably meant 4 3/10 or 4 3/6, etc. Since it's impossible, we’ll assume it’s 4 3/10 (common typo).

Assuming: 4 3/10 × 2 5/9

- Convert:
4 3/10 = 43/10
2 5/9 = 23/9

- Multiply:
(43/10) × (23/9) = 989/90

- Convert: 989 ÷ 90 = 10 R89 → 10 89/90

✔ Answer (assuming typo): 10 89/90

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🔢 Problem 10:

3 1/2 × 1 1/4

- Convert:
3 1/2 = 7/2
1 1/4 = 5/4

- Multiply:
(7/2) × (5/4) = 35/8

- Convert: 35 ÷ 8 = 4 R3 → 4 3/8

✔ Answer: 4 3/8

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🔢 Problem 11:

1 4/7 × 3 2/3

- Convert:
1 4/7 = 11/7
3 2/3 = 11/3

- Multiply:
(11/7) × (11/3) = 121/21

- Convert: 121 ÷ 21 = 5 R16 → 5 16/21

✔ Answer: 5 16/21

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🔢 Problem 12:

2 5/9 × 1 2/4

- Simplify:
2 5/9 = 23/9
1 2/4 = 1 1/2 = 3/2

- Multiply:
(23/9) × (3/2) = 69/18 → simplify: divide by 3 → 23/6

- Convert: 23 ÷ 6 = 3 R5 → 3 5/6

✔ Answer: 3 5/6

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🔢 Problem 13:

3 3/8 × 2 5/5

- Note: 2 5/5 = 2 + 1 = 3 → so it’s 3 3/8 × 3

- Convert 3 3/8 = 27/8

- Multiply:
(27/8) × 3 = 81/8

- Convert: 81 ÷ 8 = 10 R1 → 10 1/8

✔ Answer: 10 1/8

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🔢 Problem 14:

4 3/6 × 1 2/7

- Simplify:
4 3/6 = 4 1/2 = 9/2
1 2/7 = 9/7

- Multiply:
(9/2) × (9/7) = 81/14

- Convert: 81 ÷ 14 = 5 R11 → 5 11/14

✔ Answer: 5 11/14

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🔢 Problem 15:

3 3/5 × 2 2/4

- Simplify:
3 3/5 = 18/5
2 2/4 = 2 1/2 = 5/2

- Multiply:
(18/5) × (5/2) = 90/10 = 9

✔ Answer: 9

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🔢 Problem 16:

2 3/3 × 1 4/7

- Note: 2 3/3 = 2 + 1 = 3

- 1 4/7 = 11/7

- Multiply:
3 × 11/7 = 33/7

- Convert: 33 ÷ 7 = 4 R5 → 4 5/7

✔ Answer: 4 5/7

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## 📝 Final Answers Summary:

1. 4 19/25
2. 10 1/2
3. 8 17/32
4. 4 31/80
5. 14 1/12
6. 3 15/16
7. 9 1/10
8. 14 2/3
9. 10 89/90 *(assumed typo from 3/0 → 3/10)*
10. 4 3/8
11. 5 16/21
12. 3 5/6
13. 10 1/8
14. 5 11/14
15. 9
16. 4 5/7

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✔ All problems solved and simplified to lowest terms!

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