To divide the fraction \(-\frac{3}{4}\) by \(\frac{3}{8}\), you multiply \(-\frac{3}{4}\) by the reciprocal of \(\frac{3}{8}\). The reciprocal of \(\frac{3}{8}\) is \(\frac{8}{3}\).
So, the operation becomes:
\[ -\frac{3}{4} \div \frac{3}{8} = -\frac{3}{4} \times \frac{8}{3} \]
Now, multiplying the fractions:
\[ -\frac{3 \times 8}{4 \times 3} = -\frac{24}{12} = -2 \]
Thus, the quotient when you divide \(-\frac{3}{4}\) by \(\frac{3}{8}\) is \(-2\).
The correct response is:
negative 2