Math worksheet for converting percentages to decimals and fractions.

Let's solve the problem step by step.

We are given a worksheet titled "Percents to Decimals & Fractions Sheet 2", where we need to convert each percent into its equivalent decimal and fraction form.

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🔁 How to Convert Percent to Decimal and Fraction:

1. Percent → Decimal:
Divide the percent by 100 (move the decimal point two places to the left).

2. Percent → Fraction:
Write the percent as a fraction over 100, then simplify.

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Now, let’s go through each row:

| PERCENT | DECIMAL | FRACTION |
|--------|--------|---------|
| 40% | 0.4 | $ \frac{4}{10} $ or $ \frac{2}{5} $ ✔ (Already done) |
| 90% | ? | ? |
| 55% | ? | ? |
| 28% | ? | ? |
| 50% | ? | ? |
| 15% | ? | ? |
| 82% | ? | ? |
| 95% | ? | ? |
| 2% | ? | ? |
| 150% | ? | ? |
| 300% | ? | ? |
| 12.5% | ? | ? |
| 31% | ? | ? |
| 48% | ? | ? |
| 124% | ? | ? |
| 135% | ? | ? |
| 37.5% | ? | ? |

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✔ Step-by-Step Conversions:

#### 1. 90%
- Decimal: $ 90 \div 100 = 0.9 $
- Fraction: $ \frac{90}{100} = \frac{9}{10} $

#### 2. 55%
- Decimal: $ 55 \div 100 = 0.55 $
- Fraction: $ \frac{55}{100} = \frac{11}{20} $

#### 3. 28%
- Decimal: $ 28 \div 100 = 0.28 $
- Fraction: $ \frac{28}{100} = \frac{7}{25} $

#### 4. 50%
- Decimal: $ 50 \div 100 = 0.5 $
- Fraction: $ \frac{50}{100} = \frac{1}{2} $

#### 5. 15%
- Decimal: $ 15 \div 100 = 0.15 $
- Fraction: $ \frac{15}{100} = \frac{3}{20} $

#### 6. 82%
- Decimal: $ 82 \div 100 = 0.82 $
- Fraction: $ \frac{82}{100} = \frac{41}{50} $

#### 7. 95%
- Decimal: $ 95 \div 100 = 0.95 $
- Fraction: $ \frac{95}{100} = \frac{19}{20} $

#### 8. 2%
- Decimal: $ 2 \div 100 = 0.02 $
- Fraction: $ \frac{2}{100} = \frac{1}{50} $

#### 9. 150%
- Decimal: $ 150 \div 100 = 1.5 $
- Fraction: $ \frac{150}{100} = \frac{3}{2} $ or $ 1\frac{1}{2} $

#### 10. 300%
- Decimal: $ 300 \div 100 = 3.0 $
- Fraction: $ \frac{300}{100} = 3 $ or $ \frac{3}{1} $

#### 11. 12.5%
- Decimal: $ 12.5 \div 100 = 0.125 $
- Fraction: $ \frac{12.5}{100} = \frac{125}{1000} = \frac{1}{8} $

> 💡 Tip: 12.5% is half of 25%, and $ \frac{1}{8} = 0.125 $

#### 12. 31%
- Decimal: $ 31 \div 100 = 0.31 $
- Fraction: $ \frac{31}{100} $ (already simplified)

#### 13. 48%
- Decimal: $ 48 \div 100 = 0.48 $
- Fraction: $ \frac{48}{100} = \frac{12}{25} $

#### 14. 124%
- Decimal: $ 124 \div 100 = 1.24 $
- Fraction: $ \frac{124}{100} = \frac{31}{25} $ or $ 1\frac{6}{25} $

#### 15. 135%
- Decimal: $ 135 \div 100 = 1.35 $
- Fraction: $ \frac{135}{100} = \frac{27}{20} $ or $ 1\frac{7}{20} $

#### 16. 37.5%
- Decimal: $ 37.5 \div 100 = 0.375 $
- Fraction: $ \frac{37.5}{100} = \frac{375}{1000} = \frac{3}{8} $

> 💡 Tip: $ 37.5\% = \frac{3}{8} $ because $ \frac{3}{8} = 0.375 $

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✔ Final Answer Table:

| PERCENT | DECIMAL | FRACTION |
|--------|--------|---------|
| 40% | 0.4 | $ \frac{2}{5} $ |
| 90% | 0.9 | $ \frac{9}{10} $ |
| 55% | 0.55 | $ \frac{11}{20} $ |
| 28% | 0.28 | $ \frac{7}{25} $ |
| 50% | 0.5 | $ \frac{1}{2} $ |
| 15% | 0.15 | $ \frac{3}{20} $ |
| 82% | 0.82 | $ \frac{41}{50} $ |
| 95% | 0.95 | $ \frac{19}{20} $ |
| 2% | 0.02 | $ \frac{1}{50} $ |
| 150% | 1.5 | $ \frac{3}{2} $ |
| 300% | 3.0 | $ 3 $ |
| 12.5% | 0.125 | $ \frac{1}{8} $ |
| 31% | 0.31 | $ \frac{31}{100} $ |
| 48% | 0.48 | $ \frac{12}{25} $ |
| 124% | 1.24 | $ \frac{31}{25} $ |
| 135% | 1.35 | $ \frac{27}{20} $ |
| 37.5% | 0.375 | $ \frac{3}{8} $ |

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📝 Summary:

- To convert percent to decimal: divide by 100.
- To convert percent to fraction: write over 100 and simplify.
- For decimals with tenths/hundredths, use fractions like $ \frac{1}{8}, \frac{1}{4}, \frac{3}{8} $, etc., when applicable.

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