Write the fractions as decimal numbers:
'(i). 2/5 (ii). 7/8.'

Answer

To convert the fractions \( \frac{2}{5} \) and \( \frac{7}{8} \) into decimal numbers, we will follow these steps:

### Step 1: Convert \( \frac{2}{5} \) to a decimal
1. **Divide 2 by 5**: Since 2 is less than 5, we cannot divide it directly. So, we will add a decimal point and a zero to make it 20.
\[ 2.0 \div 5 \]
2. **Perform the division**: Now, we divide 20 by 5.
\[ 20 \div 5 = 4 \]
3. **Write the result**: Since there is no remainder, we can write:
\[ \frac{2}{5} = 0.4 \]

### Step 2: Convert \( \frac{7}{8} \) to a decimal
1. **Divide 7 by 8**: Since 7 is less than 8, we will add a decimal point and a zero to make it 70.
\[ 7.0 \div 8 \]
2. **Perform the division**: Now, we divide 70 by 8.
\[ 70 \div 8 = 8 \quad \text{(since } 8 \times 8 = 64\text{)} \]
- Remainder: \( 70 - 64 = 6 \)
3. **Bring down a zero**: Add another zero to the remainder to make it 60.
\[ 60 \div 8 = 7 \quad \text{(since } 8 \times 7 = 56\text{)} \]
- Remainder: \( 60 - 56 = 4 \)
4. **Bring down another zero**: Add another zero to the remainder to make it 40.
\[ 40 \div 8 = 5 \quad \text{(since } 8 \times 5 = 40\text{)} \]
- Remainder: \( 40 - 40 = 0 \)
5. **Write the result**: Since there is no remainder, we can write:
\[ \frac{7}{8} = 0.875 \]

### Final Answers:
- \( \frac{2}{5} = 0.4 \)
- \( \frac{7}{8} = 0.875 \)

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