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\frac{2+1}{3}+\frac{5}{9}
Since \frac{2}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.
\frac{3}{3}+\frac{5}{9}
Add 2 and 1 to get 3.
1+\frac{5}{9}
Divide 3 by 3 to get 1.
\frac{9}{9}+\frac{5}{9}
Convert 1 to fraction \frac{9}{9}.
\frac{9+5}{9}
Since \frac{9}{9} and \frac{5}{9} have the same denominator, add them by adding their numerators.
\frac{14}{9}
Add 9 and 5 to get 14.