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