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0.25\times \frac{5}{2}
Divide 0.25 by \frac{2}{5} by multiplying 0.25 by the reciprocal of \frac{2}{5}.
\frac{1}{4}\times \frac{5}{2}
Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
\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}.