Multiplying Mixed Numbers Worksheets - 15 Worksheets Library - Free Printable

Sure! Let’s solve all 16 problems on the worksheet: Multiplying Mixed Numbers, and reduce each answer to its simplest form.

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📌 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 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 2/5 = (1×5 + 2)/5 = 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 = (9×7)/(2×3) = 63/6 = 21/2 (divide numerator and denominator by 3)

Convert: 21 ÷ 2 = 10 1/2

✔ Answer: 10 1/2

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✔ Problem 3:

3 2/8 × 2 10/16

Simplify:
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 with remainder 17 → 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 with remainder 31 → 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 with remainder 1 → 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 with remainder 15 → 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 with remainder 1 → 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 = 44/3 (divide by 2)

Convert: 44 ÷ 3 = 14 with remainder 2 → 14 2/3

✔ Answer: 14 2/3

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✔ Problem 9:

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 with remainder 89 → 10 89/90

✔ Answer: 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 with remainder 3 → 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 with remainder 16 → 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 = 23/6 (divide by 3)

Convert: 23 ÷ 6 = 3 with remainder 5 → 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: 3 3/8 × 3 = 27/8 × 3 = 81/8

Convert: 81 ÷ 8 = 10 with remainder 1 → 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 with remainder 11 → 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 with remainder 5 → 4 5/7

✔ Answer: 4 5/7

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## 🎉 Final Answers:

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
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 answers are reduced to simplest form and presented as mixed numbers where appropriate.

Let me know if you’d like this in printable format or step-by-step for any specific problem!