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9\times \frac{9}{2}
Divide 9 by \frac{2}{9} by multiplying 9 by the reciprocal of \frac{2}{9}.
\frac{9\times 9}{2}
Express 9\times \frac{9}{2} as a single fraction.
\frac{81}{2}
Multiply 9 and 9 to get 81.