Which of the following is true ?

Options

A. `(9)/(16)lt(13)/(24)`
B. `(9)/(16)=(13)/(24)`
C. `(9)/(16)gt(13)/(24)`
D. `(9)/(16)le(13)/(24)`

Answer

To determine which of the given fractions is true, we will compare the values of the fractions \( \frac{9}{16} \) and \( \frac{13}{24} \).

### Step-by-Step Solution:

1. **Calculate \( \frac{9}{16} \)**:
- To find the decimal value of \( \frac{9}{16} \), divide 9 by 16.
- \( 9 \div 16 = 0.5625 \)

2. **Calculate \( \frac{13}{24} \)**:
- To find the decimal value of \( \frac{13}{24} \), divide 13 by 24.
- \( 13 \div 24 = 0.541666... \) (approximately 0.542)

3. **Compare the two decimal values**:
- Now we compare \( 0.5625 \) (which is \( \frac{9}{16} \)) and \( 0.541666... \) (which is \( \frac{13}{24} \)).
- Clearly, \( 0.5625 > 0.541666... \).

4. **Conclusion**:
- Since \( \frac{9}{16} \) is greater than \( \frac{13}{24} \), we can conclude that the statement regarding \( \frac{9}{16} \) being greater than \( \frac{13}{24} \) is true.

### Final Answer:
The correct option is that \( \frac{9}{16} > \frac{13}{24} \).