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\frac{1}{2}\times \frac{4}{3}
Divide \frac{1}{2} by \frac{3}{4} by multiplying \frac{1}{2} by the reciprocal of \frac{3}{4}.
\frac{1\times 4}{2\times 3}
Multiply \frac{1}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{4}{6}
Do the multiplications in the fraction \frac{1\times 4}{2\times 3}.
\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.