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\frac{10}{7}\left(-\frac{15}{8}\right)
Divide \frac{10}{7} by -\frac{8}{15} by multiplying \frac{10}{7} by the reciprocal of -\frac{8}{15}.
\frac{10\left(-15\right)}{7\times 8}
Multiply \frac{10}{7} times -\frac{15}{8} by multiplying numerator times numerator and denominator times denominator.
\frac{-150}{56}
Do the multiplications in the fraction \frac{10\left(-15\right)}{7\times 8}.
-\frac{75}{28}
Reduce the fraction \frac{-150}{56} to lowest terms by extracting and canceling out 2.