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\frac{5+3}{2}+\frac{2}{3}+\frac{1}{3}
Since \frac{5}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.
\frac{8}{2}+\frac{2}{3}+\frac{1}{3}
Add 5 and 3 to get 8.
4+\frac{2}{3}+\frac{1}{3}
Divide 8 by 2 to get 4.
\frac{12}{3}+\frac{2}{3}+\frac{1}{3}
Convert 4 to fraction \frac{12}{3}.
\frac{12+2}{3}+\frac{1}{3}
Since \frac{12}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.
\frac{14}{3}+\frac{1}{3}
Add 12 and 2 to get 14.
\frac{14+1}{3}
Since \frac{14}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.
\frac{15}{3}
Add 14 and 1 to get 15.
5
Divide 15 by 3 to get 5.