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-\frac{9}{10}\left(-\frac{2}{3}\right)
Divide -\frac{9}{10} by -\frac{3}{2} by multiplying -\frac{9}{10} by the reciprocal of -\frac{3}{2}.
\frac{-9\left(-2\right)}{10\times 3}
Multiply -\frac{9}{10} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{18}{30}
Do the multiplications in the fraction \frac{-9\left(-2\right)}{10\times 3}.
\frac{3}{5}
Reduce the fraction \frac{18}{30} to lowest terms by extracting and canceling out 6.