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\frac{5}{2}+\frac{5}{3}
Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.
\frac{15}{6}+\frac{10}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{5}{3} to fractions with denominator 6.
\frac{15+10}{6}
Since \frac{15}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.
\frac{25}{6}
Add 15 and 10 to get 25.