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 \(\frac{8}{3}\).
So, the calculation is:
\[ -\frac{3}{4} \div \frac{3}{8} = -\frac{3}{4} \times \frac{8}{3} \]
Now, multiply the fractions:
\[ -\frac{3 \times 8}{4 \times 3} = -\frac{24}{12} \]
Simplifying \(-\frac{24}{12}\):
\[ -\frac{24}{12} = -2 \]
Therefore, the quotient when you divide \(-\frac{3}{4}\) by \(\frac{3}{8}\) is \(-2\). The closest matching response is:
2 (interpreted as -2 or the negative of the response, depending on the options provided).