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\frac{3}{2}\times 4
Divide \frac{3}{2} by \frac{1}{4} by multiplying \frac{3}{2} by the reciprocal of \frac{1}{4}.
\frac{3\times 4}{2}
Express \frac{3}{2}\times 4 as a single fraction.
\frac{12}{2}
Multiply 3 and 4 to get 12.
6
Divide 12 by 2 to get 6.