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\frac{10}{6}+\frac{21}{6}
Least common multiple of 3 and 2 is 6. Convert \frac{5}{3} and \frac{7}{2} to fractions with denominator 6.
\frac{10+21}{6}
Since \frac{10}{6} and \frac{21}{6} have the same denominator, add them by adding their numerators.
\frac{31}{6}
Add 10 and 21 to get 31.