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\frac{1}{2}\times \frac{5}{3}
Divide \frac{1}{2} by \frac{3}{5} by multiplying \frac{1}{2} by the reciprocal of \frac{3}{5}.
\frac{1\times 5}{2\times 3}
Multiply \frac{1}{2} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{6}
Do the multiplications in the fraction \frac{1\times 5}{2\times 3}.