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15\left(\frac{5}{15}+\frac{3}{15}\right)
Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{1}{5} to fractions with denominator 15.
15\times \frac{5+3}{15}
Since \frac{5}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.
15\times \frac{8}{15}
Add 5 and 3 to get 8.
8
Cancel out 15 and 15.