To find the quotient when dividing \(-\frac{3}{4}\) 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:
\[ -\frac{3}{4} \div \frac{3}{8} = -\frac{3}{4} \times \frac{8}{3} \]
Now, multiply the numerators and the denominators:
\[ = -\frac{3 \times 8}{4 \times 3} \]
\[ = -\frac{24}{12} \]
Now, simplify \(-\frac{24}{12}\):
\[ = -2 \]
So the quotient when you divide \(-\frac{3}{4}\) by \(\frac{3}{8}\) is \(-2\).
The correct response is:
−2 (negative 2).