Express each of the following as a fraction
(i) 36% (ii ) 120% (iii ) 0.8 %

Answer

To express the given percentages as fractions, we will follow these steps:

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

### Step 2: Convert 120% to a fraction
1. **Write the percentage as a fraction**:
\[ 120\% = \frac{120}{100} \]
2. **Simplify the fraction**:
- The GCD of 120 and 100 is 20.
- Divide both the numerator and the denominator by 20:
\[ \frac{120 \div 20}{100 \div 20} = \frac{6}{5} \]

### Step 3: Convert 0.8% to a fraction
1. **Convert the decimal to a fraction**:
- First, express 0.8 as a fraction:
\[ 0.8 = \frac{8}{10} \]
2. **Convert the percentage**:
- Since we have 0.8%, we write it as:
\[ 0.8\% = \frac{8}{10} \times \frac{1}{100} = \frac{8}{1000} \]
3. **Simplify the fraction**:
- The GCD of 8 and 1000 is 8.
- Divide both the numerator and the denominator by 8:
\[ \frac{8 \div 8}{1000 \div 8} = \frac{1}{125} \]

### Final Answers:
- (i) \( 36\% = \frac{9}{25} \)
- (ii) \( 120\% = \frac{6}{5} \)
- (iii) \( 0.8\% = \frac{1}{125} \)