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