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\frac{5}{15}+\frac{6}{15}+\frac{-2}{3}
Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{2}{5} to fractions with denominator 15.
\frac{5+6}{15}+\frac{-2}{3}
Since \frac{5}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.
\frac{11}{15}+\frac{-2}{3}
Add 5 and 6 to get 11.
\frac{11}{15}-\frac{2}{3}
Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.
\frac{11}{15}-\frac{10}{15}
Least common multiple of 15 and 3 is 15. Convert \frac{11}{15} and \frac{2}{3} to fractions with denominator 15.
\frac{11-10}{15}
Since \frac{11}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{15}
Subtract 10 from 11 to get 1.