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