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