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9\times \frac{3}{2}
Divide 9 by \frac{2}{3} by multiplying 9 by the reciprocal of \frac{2}{3}.
\frac{9\times 3}{2}
Express 9\times \frac{3}{2} as a single fraction.
\frac{27}{2}
Multiply 9 and 3 to get 27.