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Math worksheet for practicing multiplication of fractions by whole numbers.

Worksheet titled "Multiplying Fractions by Whole Numbers" with two columns of math problems involving fractions multiplied by whole numbers.

Worksheet titled "Multiplying Fractions by Whole Numbers" with two columns of math problems involving fractions multiplied by whole numbers.

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Show Answer Key & Explanations Step-by-step solution for: Multiplying Fractions Worksheets with Answer Key
Let’s solve each problem step by step. We’re multiplying fractions by whole numbers.

Rule: To multiply a fraction by a whole number, multiply the numerator (top number) by the whole number. Keep the denominator (bottom number) the same. Then simplify if possible.

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Left Column:

1. 2/9 × 3
→ 2 × 3 = 6 → 6/9
→ Simplify: divide top and bottom by 3 → 2/3

2. 9/8 × 2
→ 9 × 2 = 18 → 18/8
→ Simplify: divide by 2 → 9/4 → or as mixed number: 2 1/4

3. 3/14 × 8
→ 3 × 8 = 24 → 24/14
→ Simplify: divide by 2 → 12/7 → or 1 5/7

4. 6/15 × 9
→ 6 × 9 = 54 → 54/15
→ Simplify: divide by 3 → 18/5 → or 3 3/5

5. 8/24 × 7
→ First simplify 8/24 → divide by 8 → 1/3
→ 1/3 × 7 = 7/3 → or 2 1/3

6. 6/18 × 5
→ Simplify 6/18 → divide by 6 → 1/3
→ 1/3 × 5 = 5/3 → or 1 2/3

7. 7/32 × 8
→ 7 × 8 = 56 → 56/32
→ Simplify: divide by 8 → 7/4 → or 1 3/4

8. 4/14 × 6
→ Simplify 4/14 → divide by 2 → 2/7
→ 2/7 × 6 = 12/7 → or 1 5/7

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Right Column:

9. 5/12 × 9
→ 5 × 9 = 45 → 45/12
→ Simplify: divide by 3 → 15/4 → or 3 3/4

10. 4/35 × 7
→ 4 × 7 = 28 → 28/35
→ Simplify: divide by 7 → 4/5

11. 5/8 × 4
→ 5 × 4 = 20 → 20/8
→ Simplify: divide by 4 → 5/2 → or 2 1/2

12. 6/32 × 4
→ Simplify 6/32 → divide by 2 → 3/16
→ 3/16 × 4 = 12/16 → simplify → 3/4

13. 6/16 × 5
→ Simplify 6/16 → divide by 2 → 3/8
→ 3/8 × 5 = 15/8 → or 1 7/8

14. 8/36 × 6
→ Simplify 8/36 → divide by 4 → 2/9
→ 2/9 × 6 = 12/9 → simplify → 4/3 → or 1 1/3

15. 3/21 × 7
→ Simplify 3/21 → divide by 3 → 1/7
→ 1/7 × 7 = 1

16. 8/18 × 2
→ Simplify 8/18 → divide by 2 → 4/9
→ 4/9 × 2 = 8/9

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Final Answer:

Left Column:
1. 2/3
2. 2 1/4
3. 1 5/7
4. 3 3/5
5. 2 1/3
6. 1 2/3
7. 1 3/4
8. 1 5/7

Right Column:
9. 3 3/4
10. 4/5
11. 2 1/2
12. 3/4
13. 1 7/8
14. 1 1/3
15. 1
16. 8/9
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions worksheets.
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