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\frac{10}{15}+\frac{11}{15}
Least common multiple of 3 and 15 is 15. Convert \frac{2}{3} and \frac{11}{15} to fractions with denominator 15.
\frac{10+11}{15}
Since \frac{10}{15} and \frac{11}{15} have the same denominator, add them by adding their numerators.
\frac{21}{15}
Add 10 and 11 to get 21.
\frac{7}{5}
Reduce the fraction \frac{21}{15} to lowest terms by extracting and canceling out 3.