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\frac{9}{4}\left(-\frac{44}{9}\right)
Divide \frac{9}{4} by -\frac{9}{44} by multiplying \frac{9}{4} by the reciprocal of -\frac{9}{44}.
\frac{9\left(-44\right)}{4\times 9}
Multiply \frac{9}{4} times -\frac{44}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{-44}{4}
Cancel out 9 in both numerator and denominator.
-11
Divide -44 by 4 to get -11.