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-\frac{1}{10}\times \frac{2}{3}
Divide 1 by \frac{3}{2} by multiplying 1 by the reciprocal of \frac{3}{2}.
\frac{-2}{10\times 3}
Multiply -\frac{1}{10} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{-2}{30}
Do the multiplications in the fraction \frac{-2}{10\times 3}.
-\frac{1}{15}
Reduce the fraction \frac{-2}{30} to lowest terms by extracting and canceling out 2.