Math worksheet for practicing multiplication of whole numbers and fractions.

Let’s solve each problem step by step. We’re multiplying a whole number by a fraction. The rule is:

> Multiply the whole number by the numerator (top number) of the fraction, and keep the denominator (bottom number) the same. Then simplify if needed.

We’ll go one by one.

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Problem 1: 8 × 3/5

Step 1: Multiply 8 × 3 = 24
Step 2: Keep denominator 5 → 24/5
Step 3: Convert to mixed number: 24 ÷ 5 = 4 with remainder 4 → 4 4/5

✔ Already done in the example — correct!

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Problem 2: 5 × 6/20

Step 1: 5 × 6 = 30
Step 2: Denominator stays 20 → 30/20
Step 3: Simplify: divide numerator and denominator by 10 → 3/2
Step 4: Convert to mixed number: 3 ÷ 2 = 1 with remainder 1 → 1 1/2

Wait — let’s check if we can simplify BEFORE multiplying? Yes! That’s smarter.

Alternative way:
5 × 6/20 = (5/1) × (6/20)
Simplify 5 and 20: 5 goes into 20 four times → so it becomes (1/1) × (6/4) = 6/4
Then simplify 6/4 → 3/2 → 1 1/2

Same answer. Good.

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Problem 3: 4 × 1/6

Step 1: 4 × 1 = 4
Step 2: Denominator 6 → 4/6
Step 3: Simplify: divide top and bottom by 2 → 2/3

Answer: 2/3

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Problem 4: 2 × 2/10

Step 1: 2 × 2 = 4
Step 2: Denominator 10 → 4/10
Step 3: Simplify: divide by 2 → 2/5

Answer: 2/5

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Problem 5: 7 × 4/14

Step 1: 7 × 4 = 28
Step 2: Denominator 14 → 28/14
Step 3: 28 ÷ 14 = 2 → 2

Or simplify first:
7 × 4/14 = (7/1) × (4/14)
7 and 14: 7 goes into 14 twice → becomes (1/1) × (4/2) = 4/2 = 2

Answer: 2

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Problem 6: 3 × 2/9

Step 1: 3 × 2 = 6
Step 2: Denominator 9 → 6/9
Step 3: Simplify: divide by 3 → 2/3

Answer: 2/3

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Problem 7: 3 × 8/9

Step 1: 3 × 8 = 24
Step 2: Denominator 9 → 24/9
Step 3: Simplify: divide by 3 → 8/3
Step 4: Mixed number: 8 ÷ 3 = 2 with remainder 2 → 2 2/3

Answer: 2 2/3

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Problem 8: 4 × 5/6

Step 1: 4 × 5 = 20
Step 2: Denominator 6 → 20/6
Step 3: Simplify: divide by 2 → 10/3
Step 4: Mixed number: 10 ÷ 3 = 3 with remainder 1 → 3 1/3

Answer: 3 1/3

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Problem 9: 3 × 3/10

Step 1: 3 × 3 = 9
Step 2: Denominator 10 → 9/10
Already simplified.

Answer: 9/10

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Problem 10: 8 × 1/10

Step 1: 8 × 1 = 8
Step 2: Denominator 10 → 8/10
Step 3: Simplify: divide by 2 → 4/5

Answer: 4/5

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Problem 11: 11 × 7/22

Step 1: 11 × 7 = 77
Step 2: Denominator 22 → 77/22
Step 3: Simplify: both divisible by 11 → 77 ÷ 11 = 7, 22 ÷ 11 = 2 → 7/2
Step 4: Mixed number: 7 ÷ 2 = 3 with remainder 1 → 3 1/2

Or simplify first:
11 × 7/22 = (11/1) × (7/22)
11 and 22: 11 goes into 22 twice → becomes (1/1) × (7/2) = 7/2 → 3 1/2

Answer: 3 1/2

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Problem 12: 3 × 2/9

Wait — this is the same as Problem 6!

Step 1: 3 × 2 = 6
Step 2: Denominator 9 → 6/9
Step 3: Simplify → 2/3

Answer: 2/3

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Now let’s list all final answers clearly:

Final Answer:
1. 4 4/5
2. 1 1/2
3. 2/3
4. 2/5
5. 2
6. 2/3
7. 2 2/3
8. 3 1/3
9. 9/10
10. 4/5
11. 3 1/2
12. 2/3