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\frac{2}{3}\times \frac{9}{2}
Divide \frac{2}{3} by \frac{2}{9} by multiplying \frac{2}{3} by the reciprocal of \frac{2}{9}.
\frac{2\times 9}{3\times 2}
Multiply \frac{2}{3} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{9}{3}
Cancel out 2 in both numerator and denominator.
3
Divide 9 by 3 to get 3.