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\frac{39}{65}+\frac{25}{65}
Least common multiple of 5 and 13 is 65. Convert \frac{3}{5} and \frac{5}{13} to fractions with denominator 65.
\frac{39+25}{65}
Since \frac{39}{65} and \frac{25}{65} have the same denominator, add them by adding their numerators.
\frac{64}{65}
Add 39 and 25 to get 64.