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\frac{5\times 6}{9\times 3}
Divide \frac{5}{9} by \frac{3}{6} by multiplying \frac{5}{9} by the reciprocal of \frac{3}{6}.
\frac{2\times 5}{3\times 3}
Cancel out 3 in both numerator and denominator.
\frac{10}{3\times 3}
Multiply 2 and 5 to get 10.
\frac{10}{9}
Multiply 3 and 3 to get 9.