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\frac{1\times 5}{2\times 6}\times \frac{4}{6}\times \frac{1}{2}
Multiply \frac{1}{2} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{12}\times \frac{4}{6}\times \frac{1}{2}
Do the multiplications in the fraction \frac{1\times 5}{2\times 6}.
\frac{5}{12}\times \frac{2}{3}\times \frac{1}{2}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{5\times 2}{12\times 3}\times \frac{1}{2}
Multiply \frac{5}{12} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{10}{36}\times \frac{1}{2}
Do the multiplications in the fraction \frac{5\times 2}{12\times 3}.
\frac{5}{18}\times \frac{1}{2}
Reduce the fraction \frac{10}{36} to lowest terms by extracting and canceling out 2.
\frac{5\times 1}{18\times 2}
Multiply \frac{5}{18} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{36}
Do the multiplications in the fraction \frac{5\times 1}{18\times 2}.