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\frac{3}{8\times 2}-\frac{1}{16}
Express \frac{\frac{3}{8}}{2} as a single fraction.
\frac{3}{16}-\frac{1}{16}
Multiply 8 and 2 to get 16.
\frac{3-1}{16}
Since \frac{3}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.
\frac{2}{16}
Subtract 1 from 3 to get 2.
\frac{1}{8}
Reduce the fraction \frac{2}{16} to lowest terms by extracting and canceling out 2.