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\frac{1}{2}+\frac{7}{9}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{9}{18}+\frac{14}{18}
Least common multiple of 2 and 9 is 18. Convert \frac{1}{2} and \frac{7}{9} to fractions with denominator 18.
\frac{9+14}{18}
Since \frac{9}{18} and \frac{14}{18} have the same denominator, add them by adding their numerators.
\frac{23}{18}
Add 9 and 14 to get 23.