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\frac{1}{2}\times \frac{8}{5}
Divide \frac{1}{2} by \frac{5}{8} by multiplying \frac{1}{2} by the reciprocal of \frac{5}{8}.
\frac{1\times 8}{2\times 5}
Multiply \frac{1}{2} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{8}{10}
Do the multiplications in the fraction \frac{1\times 8}{2\times 5}.
\frac{4}{5}
Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.