Let's solve the problem step by step.
We are given a list of percentages and need to convert each into its
decimal and
fraction form.
---
🔁 Conversion Rules:
1.
Percentage → Decimal:
Divide the percentage by 100.
Example: $ 85\% = \frac{85}{100} = 0.85 $
2.
Percentage → Fraction:
Write the percentage over 100, then simplify the fraction.
Example: $ 85\% = \frac{85}{100} = \frac{17}{20} $ (simplified)
---
Now let’s go through each percentage:
---
1.
85%
- Decimal: $ 85 \div 100 = 0.85 $
- Fraction: $ \frac{85}{100} = \frac{17}{20} $ (divide numerator and denominator by 5)
2.
34%
- Decimal: $ 34 \div 100 = 0.34 $
- Fraction: $ \frac{34}{100} = \frac{17}{50} $ (divide by 2)
3.
18%
- Decimal: $ 18 \div 100 = 0.18 $
- Fraction: $ \frac{18}{100} = \frac{9}{50} $ (divide by 2)
4.
73%
- Decimal: $ 73 \div 100 = 0.73 $
- Fraction: $ \frac{73}{100} $ (already simplified — 73 is prime)
5.
62%
- Decimal: $ 62 \div 100 = 0.62 $
- Fraction: $ \frac{62}{100} = \frac{31}{50} $ (divide by 2)
6.
92%
- Decimal: $ 92 \div 100 = 0.92 $
- Fraction: $ \frac{92}{100} = \frac{23}{25} $ (divide by 4)
7.
94%
- Decimal: $ 94 \div 100 = 0.94 $
- Fraction: $ \frac{94}{100} = \frac{47}{50} $ (divide by 2)
8.
76%
- Decimal: $ 76 \div 100 = 0.76 $
- Fraction: $ \frac{76}{100} = \frac{19}{25} $ (divide by 4)
9.
18% (again)
- Decimal: $ 0.18 $
- Fraction: $ \frac{9}{50} $
10.
20%
- Decimal: $ 20 \div 100 = 0.20 $
- Fraction: $ \frac{20}{100} = \frac{1}{5} $ (divide by 20)
---
✔ Final Answer Table:
| Fraction | Decimal | Percentage |
|--------------|---------|------------|
| $ \frac{17}{20} $ | 0.85 | 85% |
| $ \frac{17}{50} $ | 0.34 | 34% |
| $ \frac{9}{50} $ | 0.18 | 18% |
| $ \frac{73}{100} $| 0.73 | 73% |
| $ \frac{31}{50} $ | 0.62 | 62% |
| $ \frac{23}{25} $ | 0.92 | 92% |
| $ \frac{47}{50} $ | 0.94 | 94% |
| $ \frac{19}{25} $ | 0.76 | 76% |
| $ \frac{9}{50} $ | 0.18 | 18% |
| $ \frac{1}{5} $ | 0.20 | 20% |
---
✔ All conversions are complete! Let me know if you'd like this in printable format or with explanations for each step.
Parent Tip: Review the logic above to help your child master the concept of fraction to decimal to percent worksheet.