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\frac{32}{12}+\frac{9}{12}
Least common multiple of 3 and 4 is 12. Convert \frac{8}{3} and \frac{3}{4} to fractions with denominator 12.
\frac{32+9}{12}
Since \frac{32}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.
\frac{41}{12}
Add 32 and 9 to get 41.