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