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\frac{21}{6}+\frac{8}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{7}{2} and \frac{4}{3} to fractions with denominator 6.
\frac{21+8}{6}
Since \frac{21}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.
\frac{29}{6}
Add 21 and 8 to get 29.