Which decimal number is greater than `( 3)/( 4)` ?

Options

A. 0.85
B. 0.5
C. 0.69
D. 0.75

Answer

To determine which decimal number is greater than \( \frac{3}{4} \), we will first convert \( \frac{3}{4} \) into a decimal and then compare it with the given options.

### Step-by-Step Solution:

1. **Convert \( \frac{3}{4} \) to a Decimal:**
- To convert a fraction to a decimal, we divide the numerator (3) by the denominator (4).
- Set up the division: \( 3 \div 4 \).

2. **Perform the Division:**
- Since 4 cannot divide 3, we add a decimal point and a zero to 3, making it 30.
- Now, we divide: \( 30 \div 4 \).
- 4 goes into 30 seven times (since \( 4 \times 7 = 28 \)).
- Subtract 28 from 30, which gives us 2.
- Bring down another 0, making it 20.
- 4 goes into 20 five times (since \( 4 \times 5 = 20 \)).
- Subtract 20 from 20, which gives us 0.
- The division is complete, and we find that \( \frac{3}{4} = 0.75 \).

3. **Compare with Given Options:**
- The options provided are: 0.85, 0.5, 0.69, and 0.75.
- We need to find which of these numbers is greater than 0.75.

4. **Analyze Each Option:**
- **0.85:** This is greater than 0.75.
- **0.5:** This is less than 0.75.
- **0.69:** This is less than 0.75.
- **0.75:** This is equal to 0.75, not greater.

5. **Conclusion:**
- The only number greater than \( \frac{3}{4} \) (or 0.75) is **0.85**.

### Final Answer:
The decimal number that is greater than \( \frac{3}{4} \) is **0.85**.

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