Convert each of the following into a decimal fraction:
(1) `36% `
(2) `5.4%`
(3) `0.25%%`
(4) `135%`

Answer

To convert percentages into decimal fractions, we divide the percentage value by 100. Let's solve each of the given percentages step by step.

### Step-by-Step Solution:

1. **Convert 36% to Decimal Fraction:**
- Start with the percentage: 36%
- Convert to decimal: \( \frac{36}{100} \)
- Perform the division: \( 36 \div 100 = 0.36 \)
- **Result:** 36% = 0.36

2. **Convert 5.4% to Decimal Fraction:**
- Start with the percentage: 5.4%
- Convert to decimal: \( \frac{5.4}{100} \)
- To simplify, multiply both the numerator and denominator by 10:
- \( \frac{5.4 \times 10}{100 \times 10} = \frac{54}{1000} \)
- Perform the division: \( 54 \div 1000 = 0.054 \)
- **Result:** 5.4% = 0.054

3. **Convert 0.25% to Decimal Fraction:**
- Start with the percentage: 0.25%
- Convert to decimal: \( \frac{0.25}{100} \)
- To simplify, multiply both the numerator and denominator by 100:
- \( \frac{0.25 \times 100}{100 \times 100} = \frac{25}{10000} \)
- Perform the division: \( 25 \div 10000 = 0.0025 \)
- **Result:** 0.25% = 0.0025

4. **Convert 135% to Decimal Fraction:**
- Start with the percentage: 135%
- Convert to decimal: \( \frac{135}{100} \)
- Perform the division: \( 135 \div 100 = 1.35 \)
- **Result:** 135% = 1.35

### Final Results:
- 36% = 0.36
- 5.4% = 0.054
- 0.25% = 0.0025
- 135% = 1.35