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\frac{9}{15}+\frac{10}{15}
Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{2}{3} to fractions with denominator 15.
\frac{9+10}{15}
Since \frac{9}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.
\frac{19}{15}
Add 9 and 10 to get 19.