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\frac{\frac{1}{\frac{1}{6}}}{2}
Divide 1 by \frac{2}{\frac{1}{\frac{1}{6}}} by multiplying 1 by the reciprocal of \frac{2}{\frac{1}{\frac{1}{6}}}.
\frac{1\times 6}{2}
Divide 1 by \frac{1}{6} by multiplying 1 by the reciprocal of \frac{1}{6}.
\frac{6}{2}
Multiply 1 and 6 to get 6.
3
Divide 6 by 2 to get 3.