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\frac{9}{24}+\frac{10}{24}
Least common multiple of 8 and 12 is 24. Convert \frac{3}{8} and \frac{5}{12} to fractions with denominator 24.
\frac{9+10}{24}
Since \frac{9}{24} and \frac{10}{24} have the same denominator, add them by adding their numerators.
\frac{19}{24}
Add 9 and 10 to get 19.