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\frac{1}{6}\left(-\frac{3}{2}\right)=d
Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.
\frac{1\left(-3\right)}{6\times 2}=d
Multiply \frac{1}{6} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{-3}{12}=d
Do the multiplications in the fraction \frac{1\left(-3\right)}{6\times 2}.
-\frac{1}{4}=d
Reduce the fraction \frac{-3}{12} to lowest terms by extracting and canceling out 3.
d=-\frac{1}{4}
Swap sides so that all variable terms are on the left hand side.