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\frac{-11\times 9}{27\times 22}
Divide \frac{-11}{27} by \frac{22}{9} by multiplying \frac{-11}{27} by the reciprocal of \frac{22}{9}.
\frac{-1}{2\times 3}
Cancel out 9\times 11 in both numerator and denominator.
\frac{-1}{6}
Multiply 2 and 3 to get 6.
-\frac{1}{6}
Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.