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\frac{9}{3\times 6}
Divide \frac{1}{3} by \frac{6}{9} by multiplying \frac{1}{3} by the reciprocal of \frac{6}{9}.
\frac{9}{18}
Multiply 3 and 6 to get 18.
\frac{1}{2}
Reduce the fraction \frac{9}{18} to lowest terms by extracting and canceling out 9.