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\frac{5}{8}\times \frac{2}{3}
Divide \frac{5}{8} by \frac{3}{2} by multiplying \frac{5}{8} by the reciprocal of \frac{3}{2}.
\frac{5\times 2}{8\times 3}
Multiply \frac{5}{8} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{10}{24}
Do the multiplications in the fraction \frac{5\times 2}{8\times 3}.
\frac{5}{12}
Reduce the fraction \frac{10}{24} to lowest terms by extracting and canceling out 2.