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\frac{27\times 9}{9\times 14}
Divide \frac{27}{9} by \frac{14}{9} by multiplying \frac{27}{9} by the reciprocal of \frac{14}{9}.
\frac{3\times 9}{14}
Cancel out 9 in both numerator and denominator.
\frac{27}{14}
Multiply 3 and 9 to get 27.