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\frac{3\times 2}{2\times 4}-\frac{1}{4}
Divide \frac{3}{2} by \frac{4}{2} by multiplying \frac{3}{2} by the reciprocal of \frac{4}{2}.
\frac{3}{4}-\frac{1}{4}
Cancel out 2 in both numerator and denominator.
\frac{3-1}{4}
Since \frac{3}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{2}{4}
Subtract 1 from 3 to get 2.
\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.