To divide the fraction \(-\frac{3}{4}\) by \(\frac{3}{8}\), you can multiply by the reciprocal of the second fraction:
\[ -\frac{3}{4} \div \frac{3}{8} = -\frac{3}{4} \times \frac{8}{3} \]
Now, multiply the fractions:
\[ -\frac{3 \times 8}{4 \times 3} \]
The \(3\)s in the numerator and denominator cancel out:
\[
- \frac{8}{4} \]
Now simplify \(-\frac{8}{4}\):
\[ -2 \]
So, \(-\frac{3}{4} \div \frac{3}{8} = -2\).