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\frac{17}{34}+\frac{2}{34}
Least common multiple of 2 and 17 is 34. Convert \frac{1}{2} and \frac{1}{17} to fractions with denominator 34.
\frac{17+2}{34}
Since \frac{17}{34} and \frac{2}{34} have the same denominator, add them by adding their numerators.
\frac{19}{34}
Add 17 and 2 to get 19.