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\frac{4}{11}\times \frac{9}{4}
Divide \frac{4}{11} by \frac{4}{9} by multiplying \frac{4}{11} by the reciprocal of \frac{4}{9}.
\frac{4\times 9}{11\times 4}
Multiply \frac{4}{11} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{9}{11}
Cancel out 4 in both numerator and denominator.