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\frac{22}{27}\times \frac{18}{11}
Divide \frac{22}{27} by \frac{11}{18} by multiplying \frac{22}{27} by the reciprocal of \frac{11}{18}.
\frac{22\times 18}{27\times 11}
Multiply \frac{22}{27} times \frac{18}{11} by multiplying numerator times numerator and denominator times denominator.
\frac{396}{297}
Do the multiplications in the fraction \frac{22\times 18}{27\times 11}.
\frac{4}{3}
Reduce the fraction \frac{396}{297} to lowest terms by extracting and canceling out 99.