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\frac{9\times 2}{11\times 3}\times \frac{1}{66}
Multiply \frac{9}{11} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{18}{33}\times \frac{1}{66}
Do the multiplications in the fraction \frac{9\times 2}{11\times 3}.
\frac{6}{11}\times \frac{1}{66}
Reduce the fraction \frac{18}{33} to lowest terms by extracting and canceling out 3.
\frac{6\times 1}{11\times 66}
Multiply \frac{6}{11} times \frac{1}{66} by multiplying numerator times numerator and denominator times denominator.
\frac{6}{726}
Do the multiplications in the fraction \frac{6\times 1}{11\times 66}.
\frac{1}{121}
Reduce the fraction \frac{6}{726} to lowest terms by extracting and canceling out 6.