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\frac{1}{5}\times \frac{25}{16}
Divide \frac{1}{5} by \frac{16}{25} by multiplying \frac{1}{5} by the reciprocal of \frac{16}{25}.
\frac{1\times 25}{5\times 16}
Multiply \frac{1}{5} times \frac{25}{16} by multiplying numerator times numerator and denominator times denominator.
\frac{25}{80}
Do the multiplications in the fraction \frac{1\times 25}{5\times 16}.
\frac{5}{16}
Reduce the fraction \frac{25}{80} to lowest terms by extracting and canceling out 5.