Grade 5 math worksheet for multiplying 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 if needed — and maybe turn back to a mixed number.

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Problem 1: 1½ × 3⁶⁄₈

Step 1: Convert to improper fractions
1½ = 3/2
3⁶⁄₈ = (3×8 + 6)/8 = 30/8 → simplify to 15/4

Step 2: Multiply
(3/2) × (15/4) = (3×15)/(2×4) = 45/8

Step 3: Convert to mixed number
45 ÷ 8 = 5 with remainder 5 → 5⁵⁄

✔ Answer: 5⁵⁄

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Problem 2: 1¹⁄₆ × 2⁸⁄₁₀

Step 1: Convert
1¹⁄₆ = 7/6
2⁸⁄₁₀ = (2×10 + 8)/10 = 28/10 → simplify to 14/5

Step 2: Multiply
(7/6) × (14/5) = (7×14)/(6×5) = 98/30 → simplify by dividing numerator and denominator by 2 → 49/15

Step 3: Mixed number
49 ÷ 15 = 3 with remainder 4 → 3⁴⁄₁₅

✔ Answer: 3⁴⁄₁₅

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Problem 3: 2¹⁄₂ × 3⁴⁄₅

Step 1: Convert
2¹⁄₂ = 5/2
3⁴⁄₅ = (3×5 + 4)/5 = 19/5

Step 2: Multiply
(5/2) × (19/5) = (5×19)/(2×5) = 95/10 → cancel the 5s? Wait — actually, 5 in top and bottom cancels:
= (1×19)/(2×1) = 19/2

Wait — let me recalculate:
(5/2) × (19/5) = (5×19)/(2×5) = 95/10 → yes, but 95÷5=19, 10÷5=2 → 19/2

Step 3: Mixed number
19 ÷ 2 = 9 with remainder 1 → 9¹⁄₂

✔ Answer: 9¹⁄₂

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Problem 4: 3¹⁄₃ × 1⁴⁄₁₀

Step 1: Convert
3¹⁄₃ = 10/3
1⁴⁄₁₀ = (1×10 + 4)/10 = 14/10 → simplify to 7/5

Step 2: Multiply
(10/3) × (7/5) = (10×7)/(3×5) = 70/15 → simplify by dividing by 5 → 14/3

Step 3: Mixed number
14 ÷ 3 = 4 with remainder 2 → 4²⁄₃

✔ Answer: 4²⁄₃

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Problem 5: 3³⁄₇ × 3⁶⁄

Step 1: Convert
3³⁄₇ = (3×7 + 3)/7 = 24/7
3⁶⁄₇ = (3×7 + 6)/7 = 27/7

Step 2: Multiply
(24/7) × (27/7) = (24×27)/(7×7) = 648/49

Step 3: Divide 648 ÷ 49
49 × 13 = 637 → 648 - 637 = 11 → 13¹¹⁄₄₉

✔ Answer: 13¹¹⁄₄₉

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Problem 6: 3⁸⁄₉ × 2¹⁄₂

Step 1: Convert
3⁸⁄₉ = (3×9 + 8)/9 = 35/9
2¹⁄₂ = 5/2

Step 2: Multiply
(35/9) × (5/2) = (35×5)/(9×2) = 175/18

Step 3: Mixed number
175 ÷ 18 = 9 × 18 = 162 → 175 - 162 = 13 → 9¹³⁄₁₈

✔ Answer: 9¹³⁄₁₈

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Problem 7: 1¹⁄₂ × 3¹⁄₂

Step 1: Convert
1¹⁄₂ = 3/2
3¹⁄₂ = 7/2

Step 2: Multiply
(3/2) × (7/2) = 21/4

Step 3: Mixed number
21 ÷ 4 = 5 with remainder 1 → 5¹⁄₄

✔ Answer: 5¹⁄₄

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Problem 8: 1⁸⁄₁₂ × 3²⁄₁₀

First, simplify fractions before converting!

1⁸⁄₁₂ = 1²⁄₃ (since 8÷4=2, 12÷4=3) → 5/3
3²⁄₁₀ = 3¹⁄₅ → (3×5 + 1)/5 = 16/5

Multiply: (5/3) × (16/5) = (5×16)/(3×5) = 80/15 → cancel 5 → 16/3

Mixed number: 16 ÷ 3 = 5 with remainder 1 → 5¹⁄₃

✔ Answer: 5¹⁄₃

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Problem 9: 3²⁄₆ × 3⁴⁄

Simplify first:

3²⁄₆ = 3¹⁄₃ → (3×3 + 1)/3 = 10/3
3⁴⁄₉ = (3×9 + 4)/9 = 31/9

Multiply: (10/3) × (31/9) = 310/27

Divide: 27 × 11 = 297 → 310 - 297 = 13 → 11¹³⁄₂₇

✔ Answer: 11¹³⁄₂₇

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Problem 10: 3⁴⁄₉ × 2⁴⁄

Convert:

3⁴⁄₉ = 31/9
2⁴⁄₇ = (2×7 + 4)/7 = 18/7

Multiply: (31/9) × (18/7) = (31×18)/(9×7)

Notice 18 and 9: 18÷9=2 → becomes (31×2)/(1×7) = 62/7

Mixed number: 62 ÷ 7 = 8 × 7 = 56 → 62 - 56 = 6 → 8⁶⁄₇

✔ Answer: 8⁶⁄₇

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Problem 11: 1³⁄₇ × 1²⁄₇

Convert:

1³⁄₇ = 10/7
1²⁄₇ = 9/7

Multiply: (10/7) × (9/7) = 90/49

Mixed number: 49 × 1 = 49 → 90 - 49 = 41 → 1⁴¹⁄₄₉

✔ Answer: 1⁴¹⁄₄₉

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Problem 12: 2⁴⁄₅ × 1¹⁄₁₂

Convert:

2⁴⁄₅ = 14/5
1¹⁄₁₂ = 13/12

Multiply: (14/5) × (13/12) = (14×13)/(5×12) = 182/60

Simplify: divide numerator and denominator by 2 → 91/30

Mixed number: 30 × 3 = 90 → 91 - 90 = 1 → 3¹⁄₃₀

✔ Answer: 3¹⁄₃₀

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Problem 13: 1⁵⁄ × 2⁄₉

Convert:

1⁵⁄₉ = 14/9
2⁸⁄₉ = (2×9 + 8)/9 = 26/9

Multiply: (14/9) × (26/9) = 364/81

Divide: 81 × 4 = 324 → 364 - 324 = 40 → 4⁴⁰₈₁

✔ Answer: 4⁴⁰₈₁

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Problem 14: 3⁶⁄₇ × 1¹⁄₂

Convert:

3⁶⁄₇ = 27/7
1¹⁄₂ = 3/2

Multiply: (27/7) × (3/2) = 81/14

Mixed number: 14 × 5 = 70 → 81 - 70 = 11 → 5¹¹⁄₁₄

✔ Answer: 5¹¹⁄₁₄

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Final Answer:
1. 5⁵⁄₈
2. 3⁴⁄₁₅
3. 9¹⁄₂
4. 4²⁄₃
5. 13¹¹⁄₄₉
6. 9¹³⁄₁₈
7. 5¹⁄₄
8. 5¹⁄₃
9. 11¹³⁄₂₇
10. 8⁶⁄₇
11. 1⁴¹⁄₄₉
12. 3¹⁄₃₀
13. 4⁴⁰⁄₁
14. 5¹¹⁄₁₄