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\frac{11\times 9}{12\times 22}\times \frac{2}{3}
Multiply \frac{11}{12} times \frac{9}{22} by multiplying numerator times numerator and denominator times denominator.
\frac{99}{264}\times \frac{2}{3}
Do the multiplications in the fraction \frac{11\times 9}{12\times 22}.
\frac{3}{8}\times \frac{2}{3}
Reduce the fraction \frac{99}{264} to lowest terms by extracting and canceling out 33.
\frac{3\times 2}{8\times 3}
Multiply \frac{3}{8} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{8}
Cancel out 3 in both numerator and denominator.
\frac{1}{4}
Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.