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\frac{6\times 5}{9\times 4}
Divide \frac{6}{9} by \frac{4}{5} by multiplying \frac{6}{9} by the reciprocal of \frac{4}{5}.
\frac{5}{2\times 3}
Cancel out 2\times 3 in both numerator and denominator.
\frac{5}{6}
Multiply 2 and 3 to get 6.