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\frac{10}{15}+\frac{6}{15}
Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{2}{5} to fractions with denominator 15.
\frac{10+6}{15}
Since \frac{10}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.
\frac{16}{15}
Add 10 and 6 to get 16.