Multiply Fractions By Whole Numbers Worksheet - Free Printable

Let’s solve each problem step by step. We’re multiplying whole numbers by fractions.

Remember:
To multiply a whole number by a fraction, you multiply the whole number by the numerator (top number) of the fraction, and keep the denominator (bottom number) the same. Then simplify if needed.

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1. 2 × 1/4 = (2×1)/4 = 2/4 → Simplify: divide top and bottom by 2 → 1/2

2. 7 × 4/6 = (7×4)/6 = 28/6 → Simplify: divide by 2 → 14/3 → or as mixed number: 4 2/3

Wait — let’s check: 28 ÷ 6 = 4 with remainder 4? No: 6×4=24, 28-24=4 → so 4 and 4/6 → simplify 4/6 to 2/3 → 4 2/3

But maybe we should leave as improper fraction unless asked? The worksheet doesn’t specify. Let’s go with simplified fractions — either proper, improper, or mixed — whichever is simplest.

Actually, for consistency, let’s reduce all answers to lowest terms, and use mixed numbers only if the numerator is bigger than denominator and it makes sense.

But looking at the problems, many will be less than 1 or simple fractions. Let’s do them one by one carefully.

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Let me redo all with care:

1. 2 × 1/4 = 2/4 = 1/2

2. 7 × 4/6 = 28/6 = 14/3 = 4 2/3 (since 14÷3=4 rem 2)

But wait — 4/6 can be simplified first! Maybe easier to simplify before multiplying.

Better strategy: Simplify the fraction first if possible, then multiply.

So for #2: 4/6 = 2/3 → then 7 × 2/3 = 14/3 = 4 2/3

Same answer.

Let’s try that approach for others too — simplify fraction first if possible.

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3. 4 × 2/8 → 2/8 = 1/4 → 4 × 1/4 = 4/4 = 1

4. 7 × 2/3 = 14/3 = 4 2/3

5. 5 × 2/4 → 2/4 = 1/2 → 5 × 1/2 = 5/2 = 2 1/2

6. 8 × 7/8 = (8×7)/8 = 56/8 = 7 (the 8s cancel!)

7. 5 × 2/3 = 10/3 = 3 1/3

8. 2 × 5/8 = 10/8 = 5/4 = 1 1/4

9. 5 × 1/6 = 5/6 → already simplified → 5/6

10. 3 × 7/8 = 21/8 = 2 5/8

11. 4 × 2/3 = 8/3 = 2 2/3

12. 1 × 1/5 = 1/5 → 1/5

13. 7 × 1/8 = 7/8 → 7/8

14. 4 × 1/4 = 4/4 = 1

15. 2 × 2/4 → 2/4 = 1/2 → 2 × 1/2 = 2/2 = 1

16. 1 × 3/4 = 3/4 → 3/4

17. 7 × 2/4 → 2/4 = 1/2 → 7 × 1/2 = 7/2 = 3 1/2

18. 5 × 6/8 → 6/8 = 3/4 → 5 × 3/4 = 15/4 = 3 3/4

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Now let’s list all final answers clearly:

1. 1/2
2. 4 2/3
3. 1
4. 4 2/3
5. 2 1/2
6. 7
7. 3 1/3
8. 1 1/4
9. 5/6
10. 2 5/8
11. 2 2/3
12. 1/5
13. 7/8
14. 1
15. 1
16. 3/4
17. 3 1/2
18. 3 3/4

I double-checked each one. All are correct.

Final Answer:
1. 1/2
2. 4 2/3
3. 1
4. 4 2/3
5. 2 1/2
6. 7
7. 3 1/3
8. 1 1/4
9. 5/6
10. 2 5/8
11. 2 2/3
12. 1/5
13. 7/8
14. 1
15. 1
16. 3/4
17. 3 1/2
18. 3 3/4