To solve this worksheet, we need to convert percentages into fractions and then simplify them.
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Step 1: Understand the process
- A percentage means “out of 100”. So, 5% = 5/100.
- Then, we simplify the fraction by dividing both top (numerator) and bottom (denominator) by the same number — usually the greatest common factor.
- The worksheet tells us which number to divide by for each row.
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Row 3: 5%
- Out of 100 → 5/100
- Divide top and bottom by 5 → 5 ÷ 5 = 1, 100 ÷ 5 = 20 →
1/20
✔ Check: 1/20 = 0.05 = 5% → Correct!
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Row 4: 55%
- Out of 100 → 55/100
- Divide top and bottom by 5 → 55 ÷ 5 = 11, 100 ÷ 5 = 20 →
11/20
✔ Check: 11/20 = 0.55 = 55% → Correct!
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Row 5: 6%
- Out of 100 → 6/100
- Divide top and bottom by 2 → 6 ÷ 2 = 3, 100 ÷ 2 = 50 →
3/50
✔ Check: 3/50 = 0.06 = 6% → Correct!
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Row 6: 18%
- Out of 100 → 18/100
- Divide top and bottom by 2 → 18 ÷ 2 = 9, 100 ÷ 2 = 50 →
9/50
✔ Check: 9/50 = 0.18 = 18% → Correct!
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Row 7: 2%
- Out of 100 → 2/100
- Divide top and bottom by 2 → 2 ÷ 2 = 1, 100 ÷ 2 = 50 →
1/50
✔ Check: 1/50 = 0.02 = 2% → Correct!
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Row 8: 22%
- Out of 100 → 22/100
- Divide top and bottom by 2 → 22 ÷ 2 = 11, 100 ÷ 2 = 50 →
11/50
✔ Check: 11/50 = 0.22 = 22% → Correct!
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Row 9: 66%
- Out of 100 → 66/100
- Divide top and bottom by 2 → 66 ÷ 2 = 33, 100 ÷ 2 = 50 →
33/50
✔ Check: 33/50 = 0.66 = 66% → Correct!
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Final Answer:
3) 1/20
4) 11/20
5) 3/50
6) 9/50
7) 1/50
8) 11/50
9) 33/50
Parent Tip: Review the logic above to help your child master the concept of fractions to percents worksheets.
