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\frac{5}{12}\left(-\frac{16}{15}\right)
Divide \frac{5}{12} by -\frac{15}{16} by multiplying \frac{5}{12} by the reciprocal of -\frac{15}{16}.
\frac{5\left(-16\right)}{12\times 15}
Multiply \frac{5}{12} times -\frac{16}{15} by multiplying numerator times numerator and denominator times denominator.
\frac{-80}{180}
Do the multiplications in the fraction \frac{5\left(-16\right)}{12\times 15}.
-\frac{4}{9}
Reduce the fraction \frac{-80}{180} to lowest terms by extracting and canceling out 20.