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\frac{11}{12}\times \frac{2}{3}
Divide \frac{11}{12} by \frac{3}{2} by multiplying \frac{11}{12} by the reciprocal of \frac{3}{2}.
\frac{11\times 2}{12\times 3}
Multiply \frac{11}{12} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{22}{36}
Do the multiplications in the fraction \frac{11\times 2}{12\times 3}.
\frac{11}{18}
Reduce the fraction \frac{22}{36} to lowest terms by extracting and canceling out 2.