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-\frac{5}{9}\left(-\frac{3}{4}\right)
Divide -\frac{5}{9} by -\frac{4}{3} by multiplying -\frac{5}{9} by the reciprocal of -\frac{4}{3}.
\frac{-5\left(-3\right)}{9\times 4}
Multiply -\frac{5}{9} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{15}{36}
Do the multiplications in the fraction \frac{-5\left(-3\right)}{9\times 4}.
\frac{5}{12}
Reduce the fraction \frac{15}{36} to lowest terms by extracting and canceling out 3.