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-\frac{2}{3}\times \frac{6}{5}
Divide -\frac{2}{3} by \frac{5}{6} by multiplying -\frac{2}{3} by the reciprocal of \frac{5}{6}.
\frac{-2\times 6}{3\times 5}
Multiply -\frac{2}{3} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{-12}{15}
Do the multiplications in the fraction \frac{-2\times 6}{3\times 5}.
-\frac{4}{5}
Reduce the fraction \frac{-12}{15} to lowest terms by extracting and canceling out 3.