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\frac{-5\left(-3\right)}{9\times 4}\left(-6\right)
Multiply -\frac{5}{9} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{15}{36}\left(-6\right)
Do the multiplications in the fraction \frac{-5\left(-3\right)}{9\times 4}.
\frac{5}{12}\left(-6\right)
Reduce the fraction \frac{15}{36} to lowest terms by extracting and canceling out 3.
\frac{5\left(-6\right)}{12}
Express \frac{5}{12}\left(-6\right) as a single fraction.
\frac{-30}{12}
Multiply 5 and -6 to get -30.
-\frac{5}{2}
Reduce the fraction \frac{-30}{12} to lowest terms by extracting and canceling out 6.