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\frac{1\times 4}{2\times 5}\times \frac{5}{6}
Multiply \frac{1}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{4}{10}\times \frac{5}{6}
Do the multiplications in the fraction \frac{1\times 4}{2\times 5}.
\frac{2}{5}\times \frac{5}{6}
Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.
\frac{2\times 5}{5\times 6}
Multiply \frac{2}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{6}
Cancel out 5 in both numerator and denominator.
\frac{1}{3}
Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.