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\frac{5\times 8}{100\times 5}
Divide \frac{5}{100} by \frac{5}{8} by multiplying \frac{5}{100} by the reciprocal of \frac{5}{8}.
\frac{2}{5\times 5}
Cancel out 4\times 5 in both numerator and denominator.
\frac{2}{25}
Multiply 5 and 5 to get 25.