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\frac{5\times 10}{9\times 15}
Divide \frac{5}{9} by \frac{15}{10} by multiplying \frac{5}{9} by the reciprocal of \frac{15}{10}.
\frac{10}{3\times 9}
Cancel out 5 in both numerator and denominator.
\frac{10}{27}
Multiply 3 and 9 to get 27.