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\frac{13.6\times 100}{90}
Divide 13.6 by \frac{90}{100} by multiplying 13.6 by the reciprocal of \frac{90}{100}.
\frac{1360}{90}
Multiply 13.6 and 100 to get 1360.
\frac{136}{9}
Reduce the fraction \frac{1360}{90} to lowest terms by extracting and canceling out 10.