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\frac{2}{5}\times \frac{3}{2}
Divide \frac{2}{5} by \frac{2}{3} by multiplying \frac{2}{5} by the reciprocal of \frac{2}{3}.
\frac{2\times 3}{5\times 2}
Multiply \frac{2}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{5}
Cancel out 2 in both numerator and denominator.