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\frac{24}{10}+\frac{15}{10}
Least common multiple of 5 and 2 is 10. Convert \frac{12}{5} and \frac{3}{2} to fractions with denominator 10.
\frac{24+15}{10}
Since \frac{24}{10} and \frac{15}{10} have the same denominator, add them by adding their numerators.
\frac{39}{10}
Add 24 and 15 to get 39.