To divide \(-\frac{3}{4}\) by \(\frac{3}{8}\), you can multiply \(-\frac{3}{4}\) by the reciprocal of \(\frac{3}{8}\).
The reciprocal of \(\frac{3}{8}\) is \(\frac{8}{3}\).
Now, perform the multiplication:
\[ -\frac{3}{4} \times \frac{8}{3} \]
Multiply the numerators and the denominators:
\[ = \frac{-3 \times 8}{4 \times 3} = \frac{-24}{12} \]
Now, simplify \(\frac{-24}{12}\):
\[ = -2 \]
Thus, the quotient when you divide \(-\frac{3}{4}\) by \(\frac{3}{8}\) is \(-2\).