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\frac{3}{2}\left(-4\right)
Divide \frac{3}{2} by -\frac{1}{4} by multiplying \frac{3}{2} by the reciprocal of -\frac{1}{4}.
\frac{3\left(-4\right)}{2}
Express \frac{3}{2}\left(-4\right) as a single fraction.
\frac{-12}{2}
Multiply 3 and -4 to get -12.
-6
Divide -12 by 2 to get -6.