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6\times \frac{3}{2}
Divide 6 by \frac{2}{3} by multiplying 6 by the reciprocal of \frac{2}{3}.
\frac{6\times 3}{2}
Express 6\times \frac{3}{2} as a single fraction.
\frac{18}{2}
Multiply 6 and 3 to get 18.
9
Divide 18 by 2 to get 9.