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\frac{1\left(-1\right)}{2\times 3}\times 2
Multiply \frac{1}{2} times -\frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{-1}{6}\times 2
Do the multiplications in the fraction \frac{1\left(-1\right)}{2\times 3}.
-\frac{1}{6}\times 2
Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.
\frac{-2}{6}
Express -\frac{1}{6}\times 2 as a single fraction.
-\frac{1}{3}
Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.