To find the value of the equation \( \frac{5}{8} \times \frac{3}{6} \), we can multiply the numerators and the denominators:
\[ \frac{5 \times 3}{8 \times 6} = \frac{15}{48} \]
Now, we can simplify \( \frac{15}{48} \) by finding the greatest common divisor (GCD) of 15 and 48, which is 3. Dividing both the numerator and the denominator by 3 gives:
\[ \frac{15 \div 3}{48 \div 3} = \frac{5}{16} \]
However, since none of the provided answer choices reflects this simplification and addition, the original unsimplified answer \( \frac{15}{48} \) must be what the responses are referring to. Thus, the correct choice is:
1548 (15 over 48)