To divide \(-\frac{3}{4}\) by \(\frac{3}{8}\), you can multiply by the reciprocal of the divisor. The reciprocal of \(\frac{3}{8}\) is \(\frac{8}{3}\).
So, the operation can be expressed as:
\[ -\frac{3}{4} \div \frac{3}{8} = -\frac{3}{4} \times \frac{8}{3} \]
Now, you can multiply the fractions:
\[ -\frac{3 \times 8}{4 \times 3} = -\frac{24}{12} \]
Next, simplify \(-\frac{24}{12}\):
\[ -\frac{24}{12} = -2 \]
Therefore, the quotient when dividing \(-\frac{3}{4}\) by \(\frac{3}{8}\) is \(-2\).
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