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27\left(-\frac{2}{9}\right)
Divide 27 by -\frac{9}{2} by multiplying 27 by the reciprocal of -\frac{9}{2}.
\frac{27\left(-2\right)}{9}
Express 27\left(-\frac{2}{9}\right) as a single fraction.
\frac{-54}{9}
Multiply 27 and -2 to get -54.
-6
Divide -54 by 9 to get -6.