To find the quotient of \( 15 \frac{5}{8} \), we first need to convert the mixed number into an improper fraction.
- Convert \( 15 \frac{5}{8} \) into an improper fraction: \[ 15 \frac{5}{8} = \frac{15 \times 8 + 5}{8} = \frac{120 + 5}{8} = \frac{125}{8} \]
Since the question asks for the quotient without specifying what to divide by, it's a bit ambiguous. However, it seems like you might be looking for how it relates to the options provided rather than performing a division operation.
Instead, let's check the provided options against \( 15 \frac{5}{8} \):
- A. 24
- B. \( \frac{3}{8} \)
- C. \( \frac{8}{75} \)
- D. \( 9 \frac{3}{8} \)
Among these options, none of them seems to directly relate to the process of dividing \( 15 \frac{5}{8} \). If we assume a division by some number needs to yield one of these answers, please clarify what you're dividing \( 15 \frac{5}{8} \) by, or if you're looking for a specific comparison!
If you simply want to know what \( 15 \frac{5}{8} \) is equal to (as we converted above), the result is \( \frac{125}{8} \), but none of the options fit this format directly.
Do you want to clarify the problem?