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\frac{5}{15}+\frac{9}{15}
Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{3}{5} to fractions with denominator 15.
\frac{5+9}{15}
Since \frac{5}{15} and \frac{9}{15} have the same denominator, add them by adding their numerators.
\frac{14}{15}
Add 5 and 9 to get 14.