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-\frac{7}{12}\times \frac{3}{2}
Divide -\frac{7}{12} by \frac{2}{3} by multiplying -\frac{7}{12} by the reciprocal of \frac{2}{3}.
\frac{-7\times 3}{12\times 2}
Multiply -\frac{7}{12} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{-21}{24}
Do the multiplications in the fraction \frac{-7\times 3}{12\times 2}.
-\frac{7}{8}
Reduce the fraction \frac{-21}{24} to lowest terms by extracting and canceling out 3.