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\frac{1}{2}+\frac{11}{18}
Reduce the fraction \frac{22}{36} to lowest terms by extracting and canceling out 2.
\frac{9}{18}+\frac{11}{18}
Least common multiple of 2 and 18 is 18. Convert \frac{1}{2} and \frac{11}{18} to fractions with denominator 18.
\frac{9+11}{18}
Since \frac{9}{18} and \frac{11}{18} have the same denominator, add them by adding their numerators.
\frac{20}{18}
Add 9 and 11 to get 20.
\frac{10}{9}
Reduce the fraction \frac{20}{18} to lowest terms by extracting and canceling out 2.