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-16\left(-\frac{9}{8}\right)
Divide -16 by -\frac{8}{9} by multiplying -16 by the reciprocal of -\frac{8}{9}.
\frac{-16\left(-9\right)}{8}
Express -16\left(-\frac{9}{8}\right) as a single fraction.
\frac{144}{8}
Multiply -16 and -9 to get 144.
18
Divide 144 by 8 to get 18.