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\frac{3}{8}\times 4
Divide \frac{3}{8} by \frac{1}{4} by multiplying \frac{3}{8} by the reciprocal of \frac{1}{4}.
\frac{3\times 4}{8}
Express \frac{3}{8}\times 4 as a single fraction.
\frac{12}{8}
Multiply 3 and 4 to get 12.
\frac{3}{2}
Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.