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\frac{-9}{6}\times \frac{3}{2}
Multiply -9 and \frac{1}{6} to get \frac{-9}{6}.
-\frac{3}{2}\times \frac{3}{2}
Reduce the fraction \frac{-9}{6} to lowest terms by extracting and canceling out 3.
\frac{-3\times 3}{2\times 2}
Multiply -\frac{3}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{-9}{4}
Do the multiplications in the fraction \frac{-3\times 3}{2\times 2}.
-\frac{9}{4}
Fraction \frac{-9}{4} can be rewritten as -\frac{9}{4} by extracting the negative sign.