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\frac{15}{6}+\frac{2}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{1}{3} to fractions with denominator 6.
\frac{15+2}{6}
Since \frac{15}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.
\frac{17}{6}
Add 15 and 2 to get 17.