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6\left(-\frac{3}{4}\right)
Divide 6 by -\frac{4}{3} by multiplying 6 by the reciprocal of -\frac{4}{3}.
\frac{6\left(-3\right)}{4}
Express 6\left(-\frac{3}{4}\right) as a single fraction.
\frac{-18}{4}
Multiply 6 and -3 to get -18.
-\frac{9}{2}
Reduce the fraction \frac{-18}{4} to lowest terms by extracting and canceling out 2.