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\frac{1}{4}\times \frac{5}{2}
Divide \frac{1}{4} by \frac{2}{5} by multiplying \frac{1}{4} by the reciprocal of \frac{2}{5}.
\frac{1\times 5}{4\times 2}
Multiply \frac{1}{4} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{8}
Do the multiplications in the fraction \frac{1\times 5}{4\times 2}.