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85\times \frac{100}{9}
Divide 85 by \frac{9}{100} by multiplying 85 by the reciprocal of \frac{9}{100}.
\frac{85\times 100}{9}
Express 85\times \frac{100}{9} as a single fraction.
\frac{8500}{9}
Multiply 85 and 100 to get 8500.