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\frac{35}{65}+\frac{13}{65}
Least common multiple of 13 and 5 is 65. Convert \frac{7}{13} and \frac{1}{5} to fractions with denominator 65.
\frac{35+13}{65}
Since \frac{35}{65} and \frac{13}{65} have the same denominator, add them by adding their numerators.
\frac{48}{65}
Add 35 and 13 to get 48.