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-\frac{4}{5}\left(-\frac{15}{8}\right)
Divide -\frac{4}{5} by -\frac{8}{15} by multiplying -\frac{4}{5} by the reciprocal of -\frac{8}{15}.
\frac{-4\left(-15\right)}{5\times 8}
Multiply -\frac{4}{5} times -\frac{15}{8} by multiplying numerator times numerator and denominator times denominator.
\frac{60}{40}
Do the multiplications in the fraction \frac{-4\left(-15\right)}{5\times 8}.
\frac{3}{2}
Reduce the fraction \frac{60}{40} to lowest terms by extracting and canceling out 20.