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18\times \frac{3}{2}
Divide 18 by \frac{2}{3} by multiplying 18 by the reciprocal of \frac{2}{3}.
\frac{18\times 3}{2}
Express 18\times \frac{3}{2} as a single fraction.
\frac{54}{2}
Multiply 18 and 3 to get 54.
27
Divide 54 by 2 to get 27.