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