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\frac{11}{110}+\frac{80}{110}
Least common multiple of 10 and 11 is 110. Convert \frac{1}{10} and \frac{8}{11} to fractions with denominator 110.
\frac{11+80}{110}
Since \frac{11}{110} and \frac{80}{110} have the same denominator, add them by adding their numerators.
\frac{91}{110}
Add 11 and 80 to get 91.