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:
\[ -\frac{3}{4} \times \frac{8}{3} = -\frac{3 \times 8}{4 \times 3} \]
The \(3\) in the numerator and denominator cancel out:
\[ -\frac{8}{4} = -2 \]
So, the quotient is \(-2\).