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\frac{15}{12}+\frac{32}{12}
Least common multiple of 4 and 3 is 12. Convert \frac{5}{4} and \frac{8}{3} to fractions with denominator 12.
\frac{15+32}{12}
Since \frac{15}{12} and \frac{32}{12} have the same denominator, add them by adding their numerators.
\frac{47}{12}
Add 15 and 32 to get 47.