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-\frac{4}{5}\times \frac{-15}{24}
Reduce the fraction \frac{-8}{10} to lowest terms by extracting and canceling out 2.
-\frac{4}{5}\left(-\frac{5}{8}\right)
Reduce the fraction \frac{-15}{24} to lowest terms by extracting and canceling out 3.
\frac{-4\left(-5\right)}{5\times 8}
Multiply -\frac{4}{5} times -\frac{5}{8} by multiplying numerator times numerator and denominator times denominator.
\frac{20}{40}
Do the multiplications in the fraction \frac{-4\left(-5\right)}{5\times 8}.
\frac{1}{2}
Reduce the fraction \frac{20}{40} to lowest terms by extracting and canceling out 20.