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\frac{11}{15}\times \frac{3}{2}
Divide \frac{11}{15} by \frac{2}{3} by multiplying \frac{11}{15} by the reciprocal of \frac{2}{3}.
\frac{11\times 3}{15\times 2}
Multiply \frac{11}{15} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{33}{30}
Do the multiplications in the fraction \frac{11\times 3}{15\times 2}.
\frac{11}{10}
Reduce the fraction \frac{33}{30} to lowest terms by extracting and canceling out 3.