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\frac{15}{9}+\frac{17}{9}
Least common multiple of 3 and 9 is 9. Convert \frac{5}{3} and \frac{17}{9} to fractions with denominator 9.
\frac{15+17}{9}
Since \frac{15}{9} and \frac{17}{9} have the same denominator, add them by adding their numerators.
\frac{32}{9}
Add 15 and 17 to get 32.