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\frac{55}{99}+\frac{18}{99}
Least common multiple of 9 and 11 is 99. Convert \frac{5}{9} and \frac{2}{11} to fractions with denominator 99.
\frac{55+18}{99}
Since \frac{55}{99} and \frac{18}{99} have the same denominator, add them by adding their numerators.
\frac{73}{99}
Add 55 and 18 to get 73.