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\frac{24}{10}+\frac{35}{10}
Least common multiple of 5 and 2 is 10. Convert \frac{12}{5} and \frac{7}{2} to fractions with denominator 10.
\frac{24+35}{10}
Since \frac{24}{10} and \frac{35}{10} have the same denominator, add them by adding their numerators.
\frac{59}{10}
Add 24 and 35 to get 59.