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\frac{3}{\frac{1}{2}\times 4}\times \frac{1}{6}
Divide \frac{1}{\frac{1}{2}} by \frac{4}{3} by multiplying \frac{1}{\frac{1}{2}} by the reciprocal of \frac{4}{3}.
\frac{3}{\frac{4}{2}}\times \frac{1}{6}
Multiply \frac{1}{2} and 4 to get \frac{4}{2}.
\frac{3}{2}\times \frac{1}{6}
Divide 4 by 2 to get 2.
\frac{3\times 1}{2\times 6}
Multiply \frac{3}{2} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{12}
Do the multiplications in the fraction \frac{3\times 1}{2\times 6}.
\frac{1}{4}
Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.