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\frac{\frac{1}{6}}{3\times \frac{1}{18}}
Divide \frac{1}{3} by \frac{\frac{1}{18}}{\frac{1}{6}} by multiplying \frac{1}{3} by the reciprocal of \frac{\frac{1}{18}}{\frac{1}{6}}.
\frac{\frac{1}{6}}{\frac{3}{18}}
Multiply 3 and \frac{1}{18} to get \frac{3}{18}.
\frac{\frac{1}{6}}{\frac{1}{6}}
Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.
1
Divide \frac{1}{6} by \frac{1}{6} to get 1.