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