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