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