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\frac{3}{11}\times \frac{22}{9}
Divide \frac{3}{11} by \frac{9}{22} by multiplying \frac{3}{11} by the reciprocal of \frac{9}{22}.
\frac{3\times 22}{11\times 9}
Multiply \frac{3}{11} times \frac{22}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{66}{99}
Do the multiplications in the fraction \frac{3\times 22}{11\times 9}.
\frac{2}{3}
Reduce the fraction \frac{66}{99} to lowest terms by extracting and canceling out 33.