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\frac{5}{15}+\frac{3}{15}+\frac{1}{15}
Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{1}{5} to fractions with denominator 15.
\frac{5+3}{15}+\frac{1}{15}
Since \frac{5}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.
\frac{8}{15}+\frac{1}{15}
Add 5 and 3 to get 8.
\frac{8+1}{15}
Since \frac{8}{15} and \frac{1}{15} have the same denominator, add them by adding their numerators.
\frac{9}{15}
Add 8 and 1 to get 9.
\frac{3}{5}
Reduce the fraction \frac{9}{15} to lowest terms by extracting and canceling out 3.