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.