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\frac{3}{4}\times \frac{2}{9}
Divide \frac{3}{4} by \frac{9}{2} by multiplying \frac{3}{4} by the reciprocal of \frac{9}{2}.
\frac{3\times 2}{4\times 9}
Multiply \frac{3}{4} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{6}{36}
Do the multiplications in the fraction \frac{3\times 2}{4\times 9}.
\frac{1}{6}
Reduce the fraction \frac{6}{36} to lowest terms by extracting and canceling out 6.