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\frac{3}{24}+\frac{14}{24}
Least common multiple of 8 and 12 is 24. Convert \frac{1}{8} and \frac{7}{12} to fractions with denominator 24.
\frac{3+14}{24}
Since \frac{3}{24} and \frac{14}{24} have the same denominator, add them by adding their numerators.
\frac{17}{24}
Add 3 and 14 to get 17.