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\frac{20}{22}+\frac{11}{22}
Least common multiple of 11 and 2 is 22. Convert \frac{10}{11} and \frac{1}{2} to fractions with denominator 22.
\frac{20+11}{22}
Since \frac{20}{22} and \frac{11}{22} have the same denominator, add them by adding their numerators.
\frac{31}{22}
Add 20 and 11 to get 31.