3/8 :(-5/8)

To divide \( \frac{3}{8} \) by \( -\frac{5}{8} \), you can multiply by the reciprocal of the divisor.

So, the expression becomes:

\[ \frac{3}{8} \div -\frac{5}{8} = \frac{3}{8} \times -\frac{8}{5} \]

Now, multiply the fractions:

\[ \frac{3 \times -8}{8 \times 5} = \frac{-24}{40} \]

Now, simplify \( \frac{-24}{40} \):

The greatest common divisor (GCD) of 24 and 40 is 8.

So,

\[ \frac{-24 \div 8}{40 \div 8} = \frac{-3}{5} \]

Thus,

\[ \frac{3}{8} \div -\frac{5}{8} = -\frac{3}{5} \]