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\frac{4}{18}+\frac{5}{18}
Least common multiple of 9 and 18 is 18. Convert \frac{2}{9} and \frac{5}{18} to fractions with denominator 18.
\frac{4+5}{18}
Since \frac{4}{18} and \frac{5}{18} have the same denominator, add them by adding their numerators.
\frac{9}{18}
Add 4 and 5 to get 9.
\frac{1}{2}
Reduce the fraction \frac{9}{18} to lowest terms by extracting and canceling out 9.