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\frac{4}{9\times 6}
Divide \frac{1}{9} by \frac{6}{4} by multiplying \frac{1}{9} by the reciprocal of \frac{6}{4}.
\frac{4}{54}
Multiply 9 and 6 to get 54.
\frac{2}{27}
Reduce the fraction \frac{4}{54} to lowest terms by extracting and canceling out 2.