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\frac{1}{3}\times \frac{9}{2}
Divide \frac{1}{3} by \frac{2}{9} by multiplying \frac{1}{3} by the reciprocal of \frac{2}{9}.
\frac{1\times 9}{3\times 2}
Multiply \frac{1}{3} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{9}{6}
Do the multiplications in the fraction \frac{1\times 9}{3\times 2}.
\frac{3}{2}
Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.