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\frac{5\times 100}{90}
Divide 5 by \frac{90}{100} by multiplying 5 by the reciprocal of \frac{90}{100}.
\frac{500}{90}
Multiply 5 and 100 to get 500.
\frac{50}{9}
Reduce the fraction \frac{500}{90} to lowest terms by extracting and canceling out 10.