This worksheet provides ten practice problems for students to find the product of mixed numbers.

Let’s solve each problem step by step. We’re multiplying mixed numbers, so first we’ll turn them into improper fractions, multiply, then simplify and convert back to a mixed number if needed.

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1. 3 3/8 × 6 2/3

Convert to improper fractions:
- 3 3/8 = (3×8 + 3)/8 = 27/8
- 6 2/3 = (6×3 + 2)/3 = 20/3

Multiply:
27/8 × 20/3 = (27×20)/(8×3) = 540 / 24

Simplify:
Divide numerator and denominator by 12 → 540÷12=45, 24÷12=2 → 45/2
Or divide step by step: 540 ÷ 6 = 90, 24 ÷ 6 = 4 → 90/4 → 45/2

Convert to mixed number:
45 ÷ 2 = 22 remainder 1 → 22 1/2

✔ Check: 27/8 × 20/3 = (27×20)/(8×3) = 540/24 = 22.5 → yes, 22 1/2

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2. 1 1/2 × 11 4/5

Convert:
- 1 1/2 = 3/2
- 11 4/5 = (11×5 + 4)/5 = 59/5

Multiply:
3/2 × 59/5 = (3×59)/(2×5) = 177/10

Convert to mixed:
177 ÷ 10 = 17 remainder 7 → 17 7/10

✔ Check: 1.5 × 11.8 = 17.7 → yes

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3. 8 10/11 × 1 1/4

Convert:
- 8 10/11 = (8×11 + 10)/11 = 98/11
- 1 1/4 = 5/4

Multiply:
98/11 × 5/4 = (98×5)/(11×4) = 490 / 44

Simplify: Divide numerator and denominator by 2 → 245 / 22

Convert to mixed:
245 ÷ 22 = 11 remainder 3 → because 22×11=242, 245-242=3 → 11 3/22

✔ Check: 8.909... × 1.25 ≈ 11.136 → 11 + 3/22 ≈ 11.136 → yes

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4. 8 1/3 × 3 1/2

Convert:
- 8 1/3 = 25/3
- 3 1/2 = 7/2

Multiply:
25/3 × 7/2 = 175 / 6

Convert to mixed:
175 ÷ 6 = 29 remainder 1 → 29 1/6

✔ Check: 8.333 × 3.5 = 29.166… → 29 + 1/6 ≈ 29.166 → yes

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5. 3 3/8 × 12 2/15

Convert:
- 3 3/8 = 27/8
- 12 2/15 = (12×15 + 2)/15 = 182/15

Multiply:
27/8 × 182/15 = (27×182)/(8×15)

Calculate numerator: 27×182
Break it down: 20×182=3640, 7×182=1274 → total 3640+1274=4914
Denominator: 8×15=120

So: 4914 / 120

Simplify: Divide numerator and denominator by 6 →
4914 ÷ 6 = 819, 120 ÷ 6 = 20 → 819/20

Convert to mixed:
819 ÷ 20 = 40 remainder 19 → 40 19/20

✔ Check: 3.375 × 12.133... ≈ let's see: 3.375 × 12 = 40.5, plus 3.375×0.133≈0.45 → ~40.95 → 40 + 19/20 = 40.95 → yes

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6. 7 2/3 × 10 2/3

Convert:
- 7 2/3 = 23/3
- 10 2/3 = 32/3

Multiply:
23/3 × 32/3 = (23×32)/(3×3) = 736 / 9

Convert to mixed:
736 ÷ 9 = 81 remainder 7 → because 9×81=729, 736-729=7 → 81 7/9

✔ Check: 7.666 × 10.666 ≈ 81.777 → 81 + 7/9 ≈ 81.777 → yes

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7. 10 3/10 × 12 2/3

Convert:
- 10 3/10 = 103/10
- 12 2/3 = 38/3

Multiply:
103/10 × 38/3 = (103×38)/(10×3) = 3914 / 30

Simplify: Divide numerator and denominator by 2 → 1957 / 15

Convert to mixed:
1957 ÷ 15 = 130 remainder 7 → because 15×130=1950, 1957-1950=7 → 130 7/15

✔ Check: 10.3 × 12.666... ≈ 130.466 → 130 + 7/15 ≈ 130.466 → yes

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8. 9 5/6 × 8 5/8

Convert:
- 9 5/6 = 59/6
- 8 5/8 = 69/8

Multiply:
59/6 × 69/8 = (59×69)/(6×8) = 4071 / 48

Simplify: Let’s divide numerator and denominator by 3 →
4071 ÷ 3 = 1357, 48 ÷ 3 = 16 → 1357 / 16

Convert to mixed:
1357 ÷ 16 = 84 remainder 13 → because 16×84=1344, 1357-1344=13 → 84 13/16

✔ Check: 9.833 × 8.625 ≈ let’s compute: 10×8.625=86.25 minus 0.167×8.625≈1.44 → ~84.81 → 84 + 13/16 = 84.8125 → yes

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9. 4 4/5 × 1 3/11

Convert:
- 4 4/5 = 24/5
- 1 3/11 = 14/11

Multiply:
24/5 × 14/11 = (24×14)/(5×11) = 336 / 55

Convert to mixed:
336 ÷ 55 = 6 remainder 6 → because 55×6=330, 336-330=6 → 6 6/55

✔ Check: 4.8 × 1.2727 ≈ 6.109 → 6 + 6/55 ≈ 6.109 → yes

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10. 6 1/10 × 12 1/2

Convert:
- 6 1/10 = 61/10
- 12 1/2 = 25/2

Multiply:
61/10 × 25/2 = (61×25)/(10×2) = 1525 / 20

Simplify: Divide numerator and denominator by 5 → 305 / 4

Convert to mixed:
305 ÷ 4 = 76 remainder 1 → 76 1/4

✔ Check: 6.1 × 12.5 = 76.25 → yes

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Final Answer:

1. 22 1/2
2. 17 7/10
3. 11 3/22
4. 29 1/6
5. 40 19/20
6. 81 7/9
7. 130 7/15
8. 84 13/16
9. 6 6/55
10. 76 1/4