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\frac{1}{2}+\frac{2}{9}
The opposite of -\frac{2}{9} is \frac{2}{9}.
\frac{9}{18}+\frac{4}{18}
Least common multiple of 2 and 9 is 18. Convert \frac{1}{2} and \frac{2}{9} to fractions with denominator 18.
\frac{9+4}{18}
Since \frac{9}{18} and \frac{4}{18} have the same denominator, add them by adding their numerators.
\frac{13}{18}
Add 9 and 4 to get 13.