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\frac{2}{3}\times \frac{9}{4}
Divide \frac{2}{3} by \frac{4}{9} by multiplying \frac{2}{3} by the reciprocal of \frac{4}{9}.
\frac{2\times 9}{3\times 4}
Multiply \frac{2}{3} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{18}{12}
Do the multiplications in the fraction \frac{2\times 9}{3\times 4}.
\frac{3}{2}
Reduce the fraction \frac{18}{12} to lowest terms by extracting and canceling out 6.