Multiply fraction by whole number activity - Free Printable

Let’s solve each problem step by step.

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Problem 1: 3 × 2/5

Multiply the whole number by the numerator:
3 × 2 = 6
Keep the denominator the same: 5
So, 3 × 2/5 = 6/5

Now simplify if needed. 6/5 is an improper fraction. We can write it as a mixed number:
6 ÷ 5 = 1 with remainder 1 → so 1 and 1/5

But the worksheet says “write in simplest form” — both 6/5 and 1 1/5 are correct, but since the first blank is likely for the improper fraction and the second for simplified (possibly mixed), we’ll go with:

First box: 6/5
Second box: 1 1/5

Wait — let’s check the other problems to see pattern.

Actually, looking at Problem 4, it asks “The product lies between ___ and ___”, which suggests they may want mixed numbers or whole number bounds. But for Problems 1–3, the format is two boxes: probably first is improper fraction, second is simplified (mixed number or reduced fraction).

But 6/5 is already in simplest form as a fraction — it just happens to be improper. Sometimes “simplest form” means mixed number when improper. Let’s assume that’s what they want.

Similarly:

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Problem 2: 7 × 3/4

7 × 3 = 21
Denominator stays 4 → 21/4

Convert to mixed number:
21 ÷ 4 = 5 with remainder 1 → 5 1/4

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Problem 3: 5 × 5/6

5 × 5 = 25
Denominator 6 → 25/6

25 ÷ 6 = 4 with remainder 1 → 4 1/6

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Problem 4: 3 × 3/4

3 × 3 = 9
Denominator 4 → 9/4

9 ÷ 4 = 2 with remainder 1 → 2 1/4

Then: “The product lies between ___ and ___”

Since 2 1/4 is between 2 and 3, we fill in:

between 2 and 3

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Let me double-check all calculations:

1. 3 × 2/5 = 6/5 = 1 1/5 ✔
2. 7 × 3/4 = 21/4 = 5 1/4 ✔
3. 5 × 5/6 = 25/6 = 4 1/6 ✔
4. 3 × 3/4 = 9/4 = 2 1/4 → between 2 and 3 ✔

All correct.

Final Answer:

1. 6/5 = 1 1/5
2. 21/4 = 5 1/4
3. 25/6 = 4 1/6
4. 9/4 = 2 1/4; The product lies between 2 and 3