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204\times \frac{5}{9}
Divide 204 by \frac{9}{5} by multiplying 204 by the reciprocal of \frac{9}{5}.
\frac{204\times 5}{9}
Express 204\times \frac{5}{9} as a single fraction.
\frac{1020}{9}
Multiply 204 and 5 to get 1020.
\frac{340}{3}
Reduce the fraction \frac{1020}{9} to lowest terms by extracting and canceling out 3.