Convert each of the following into a fractions
(1) 36%
(2) 56%
(3) 37.5%
(4) 140%

Answer

To convert percentages into fractions, we follow these steps:

### Step-by-Step Solution

1. **Convert 36% to a fraction:**
- Write 36% as a fraction:
\[ 36\% = \frac{36}{100} \]
- Simplify the fraction:
- Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4:
\[ \frac{36 \div 4}{100 \div 4} = \frac{9}{25} \]

2. **Convert 56% to a fraction:**
- Write 56% as a fraction:
\[ 56\% = \frac{56}{100} \]
- Simplify the fraction:
- Divide both the numerator and the denominator by their GCD, which is 4:
\[ \frac{56 \div 4}{100 \div 4} = \frac{14}{25} \]

3. **Convert 37.5% to a fraction:**
- Write 37.5% as a fraction:
\[ 37.5\% = \frac{37.5}{100} \]
- To eliminate the decimal, multiply both the numerator and the denominator by 10:
\[ \frac{37.5 \times 10}{100 \times 10} = \frac{375}{1000} \]
- Simplify the fraction:
- Divide both the numerator and the denominator by their GCD, which is 125:
\[ \frac{375 \div 125}{1000 \div 125} = \frac{3}{8} \]

4. **Convert 140% to a fraction:**
- Write 140% as a fraction:
\[ 140\% = \frac{140}{100} \]
- Simplify the fraction:
- Divide both the numerator and the denominator by their GCD, which is 20:
\[ \frac{140 \div 20}{100 \div 20} = \frac{7}{5} \]

### Final Answers:
1. \( 36\% = \frac{9}{25} \)
2. \( 56\% = \frac{14}{25} \)
3. \( 37.5\% = \frac{3}{8} \)
4. \( 140\% = \frac{7}{5} \)