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\frac{377}{493}+\frac{391}{493}
Least common multiple of 17 and 29 is 493. Convert \frac{13}{17} and \frac{23}{29} to fractions with denominator 493.
\frac{377+391}{493}
Since \frac{377}{493} and \frac{391}{493} have the same denominator, add them by adding their numerators.
\frac{768}{493}
Add 377 and 391 to get 768.