Worksheets for fraction multiplication - Free Printable

Let’s solve each problem step by step. We’re multiplying whole numbers by mixed numbers (like 4 1/4 or 6 2/3). The best way is to turn the mixed number into an improper fraction first, then multiply.

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1a.
4 1/4 × 6
→ Turn 4 1/4 into improper fraction: (4×4 + 1)/4 = 17/4
→ Multiply: 17/4 × 6 = (17 × 6) / 4 = 102 / 4
→ Simplify: 102 ÷ 2 = 51, 4 ÷ 2 = 2 → 51/2 = 25 1/2

1b.
1 5/6 × 6
→ Turn 1 5/6 into improper fraction: (1×6 + 5)/6 = 11/6
→ Multiply: 11/6 × 6 = (11 × 6) / 6 = 66 / 6 = 11

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2a.
5 × 9 3/8
→ Turn 9 3/8 into improper fraction: (9×8 + 3)/8 = 75/8
→ Multiply: 5 × 75/8 = (5 × 75) / 8 = 375 / 8
→ Divide: 375 ÷ 8 = 46 with remainder 7 → 46 7/8

2b.
6 × 6 2/3
→ Turn 6 2/3 into improper fraction: (6×3 + 2)/3 = 20/3
→ Multiply: 6 × 20/3 = (6 × 20) / 3 = 120 / 3 = 40

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3a.
10 2/6 × 3
→ First simplify 2/6 to 1/3 → so it’s 10 1/3
→ Turn into improper fraction: (10×3 + 1)/3 = 31/3
→ Multiply: 31/3 × 3 = (31 × 3) / 3 = 93 / 3 = 31

*(Note: You could also notice that multiplying by 3 cancels the denominator — same result!)*

3b.
4 × 3 2/6
→ Simplify 2/6 to 1/3 → so it’s 3 1/3
→ Turn into improper fraction: (3×3 + 1)/3 = 10/3
→ Multiply: 4 × 10/3 = 40/3
→ Divide: 40 ÷ 3 = 13 with remainder 1 → 13 1/3

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4a.
1 1/2 × 4
→ Turn 1 1/2 into improper fraction: (1×2 + 1)/2 = 3/2
→ Multiply: 3/2 × 4 = (3 × 4) / 2 = 12 / 2 = 6

4b.
6 × 1 3/4
→ Turn 1 3/4 into improper fraction: (1×4 + 3)/4 = 7/4
→ Multiply: 6 × 7/4 = 42 / 4
→ Simplify: divide numerator and denominator by 2 → 21/2 = 10 1/2

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5a.
2 × 6 4/8
→ Simplify 4/8 to 1/2 → so it’s 6 1/2
→ Turn into improper fraction: (6×2 + 1)/2 = 13/2
→ Multiply: 2 × 13/2 = 26 / 2 = 13

5b.
9 5/6 × 4
→ Turn 9 5/6 into improper fraction: (9×6 + 5)/6 = 59/6
→ Multiply: 59/6 × 4 = (59 × 4) / 6 = 236 / 6
→ Simplify: divide numerator and denominator by 2 → 118 / 3
→ Divide: 118 ÷ 3 = 39 with remainder 1 → 39 1/3

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6a.
3 2/4 × 5
→ Simplify 2/4 to 1/2 → so it’s 3 1/2
→ Turn into improper fraction: (3×2 + 1)/2 = 7/2
→ Multiply: 7/2 × 5 = 35 / 2 = 17 1/2

6b.
2 × 11 1/2
→ Turn 11 1/2 into improper fraction: (11×2 + 1)/2 = 23/2
→ Multiply: 2 × 23/2 = 46 / 2 = 23

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7a.
5 × 1 5/8
→ Turn 1 5/8 into improper fraction: (1×8 + 5)/8 = 13/8
→ Multiply: 5 × 13/8 = 65 / 8
→ Divide: 65 ÷ 8 = 8 with remainder 1 → 8 1/8

7b.
4 × 7 4/6
→ Simplify 4/6 to 2/3 → so it’s 7 2/3
→ Turn into improper fraction: (7×3 + 2)/3 = 23/3
→ Multiply: 4 × 23/3 = 92 / 3
→ Divide: 92 ÷ 3 = 30 with remainder 2 → 30 2/3

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8a.
4 4/6 × 5
→ Simplify 4/6 to 2/3 → so it’s 4 2/3
→ Turn into improper fraction: (4×3 + 2)/3 = 14/3
→ Multiply: 14/3 × 5 = 70 / 3
→ Divide: 70 ÷ 3 = 23 with remainder 1 → 23 1/3

8b.
6 1/8 × 6
→ Turn 6 1/8 into improper fraction: (6×8 + 1)/8 = 49/8
→ Multiply: 49/8 × 6 = (49 × 6) / 8 = 294 / 8
→ Simplify: divide numerator and denominator by 2 → 147 / 4
→ Divide: 147 ÷ 4 = 36 with remainder 3 → 36 3/4

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Final Answer:
1a. 25 1/2
1b. 11
2a. 46 7/8
2b. 40
3a. 31
3b. 13 1/3
4a. 6
4b. 10 1/2
5a. 13
5b. 39 1/3
6a. 17 1/2
6b. 23
7a. 8 1/8
7b. 30 2/3
8a. 23 1/3
8b. 36 3/4