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\frac{2}{5}\times \frac{5}{10}
Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.
\frac{2}{5}\times \frac{1}{2}
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
\frac{2\times 1}{5\times 2}
Multiply \frac{2}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{5}
Cancel out 2 in both numerator and denominator.