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\frac{140}{110}+\frac{187}{110}
Least common multiple of 11 and 10 is 110. Convert \frac{14}{11} and \frac{17}{10} to fractions with denominator 110.
\frac{140+187}{110}
Since \frac{140}{110} and \frac{187}{110} have the same denominator, add them by adding their numerators.
\frac{327}{110}
Add 140 and 187 to get 327.