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\frac{2\left(-9\right)}{9\times 4}
Multiply \frac{2}{9} times -\frac{9}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{-18}{36}
Do the multiplications in the fraction \frac{2\left(-9\right)}{9\times 4}.
-\frac{1}{2}
Reduce the fraction \frac{-18}{36} to lowest terms by extracting and canceling out 18.