Let’s solve each problem step by step. To convert a fraction to a percentage, we multiply the fraction by 100 and add the % sign.
We’ll go one by one:
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Problem 2: 20/34
Step 1: Divide 20 by 34 → 20 ÷ 34 ≈ 0.5882
Step 2: Multiply by 100 → 0.5882 × 100 = 58.82%
→ Round to two decimal places if needed →
58.82%
But let’s check if it simplifies first? 20 and 34 are both divisible by 2 → 10/17
10 ÷ 17 ≈ 0.5882 → same result →
58.82%
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Problem 3: 27/33
Simplify first: both divisible by 3 → 9/11
9 ÷ 11 ≈ 0.8181...
× 100 = 81.8181... → round to two decimals →
81.82%
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Problem 4: 6/7
6 ÷ 7 ≈ 0.8571
× 100 = 85.71% →
85.71%
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Problem 5: 7/12
7 ÷ 12 ≈ 0.5833
× 100 = 58.33% →
58.33%
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Problem 6: 17/57
17 ÷ 57 ≈ 0.2982
× 100 = 29.82% →
29.82%
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Problem 7: 5/6
5 ÷ 6 ≈ 0.8333
× 100 = 83.33% →
83.33%
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Problem 8: 6/20
Simplify: divide numerator and denominator by 2 → 3/10
3 ÷ 10 = 0.3 → × 100 =
30%
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Problem 9: 10/21
10 ÷ 21 ≈ 0.4762
× 100 = 47.62% →
47.62%
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Problem 10: 9/20
9 ÷ 20 = 0.45 → × 100 =
45%
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Problem 11: 8/10
8 ÷ 10 = 0.8 → × 100 =
80%
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Problem 12: 29/58
Notice: 29 is half of 58 → so 29/58 = 1/2 = 0.5 → × 100 =
50%
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Problem 13: 13/20
13 ÷ 20 = 0.65 → × 100 =
65%
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Problem 14: 39/52
Simplify: both divisible by 13 → 39÷13=3, 52÷13=4 → 3/4
3 ÷ 4 = 0.75 → × 100 =
75%
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Problem 15: 25/51
25 ÷ 51 ≈ 0.4902
× 100 = 49.02% →
49.02%
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Problem 16: 36/50
Multiply numerator and denominator by 2 to get denominator 100 → 72/100 =
72%
Or: 36 ÷ 50 = 0.72 → × 100 =
72%
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Problem 17: 24/30
Simplify: divide by 6 → 4/5
4 ÷ 5 = 0.8 → × 100 =
80%
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Problem 18: 36/46
Simplify: divide by 2 → 18/23
18 ÷ 23 ≈ 0.7826
× 100 = 78.26% →
78.26%
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Now, let’s list all answers clearly:
Final Answer:
2. 58.82%
3. 81.82%
4. 85.71%
5. 58.33%
6. 29.82%
7. 83.33%
8. 30%
9. 47.62%
10. 45%
11. 80%
12. 50%
13. 65%
14. 75%
15. 49.02%
16. 72%
17. 80%
18. 78.26%
Parent Tip: Review the logic above to help your child master the concept of changing fractions to percents worksheet.
