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\frac{9}{15}+\frac{25}{15}
Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{5}{3} to fractions with denominator 15.
\frac{9+25}{15}
Since \frac{9}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.
\frac{34}{15}
Add 9 and 25 to get 34.