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27\times \frac{3}{2}
Divide 27 by \frac{2}{3} by multiplying 27 by the reciprocal of \frac{2}{3}.
\frac{27\times 3}{2}
Express 27\times \frac{3}{2} as a single fraction.
\frac{81}{2}
Multiply 27 and 3 to get 81.