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