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\frac{11}{12}\times 6
Divide \frac{11}{12} by \frac{1}{6} by multiplying \frac{11}{12} by the reciprocal of \frac{1}{6}.
\frac{11\times 6}{12}
Express \frac{11}{12}\times 6 as a single fraction.
\frac{66}{12}
Multiply 11 and 6 to get 66.
\frac{11}{2}
Reduce the fraction \frac{66}{12} to lowest terms by extracting and canceling out 6.