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\frac{403}{93}+\frac{51}{93}
Least common multiple of 3 and 31 is 93. Convert \frac{13}{3} and \frac{17}{31} to fractions with denominator 93.
\frac{403+51}{93}
Since \frac{403}{93} and \frac{51}{93} have the same denominator, add them by adding their numerators.
\frac{454}{93}
Add 403 and 51 to get 454.