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\frac{3}{36}+\frac{14}{36}
Least common multiple of 12 and 18 is 36. Convert \frac{1}{12} and \frac{7}{18} to fractions with denominator 36.
\frac{3+14}{36}
Since \frac{3}{36} and \frac{14}{36} have the same denominator, add them by adding their numerators.
\frac{17}{36}
Add 3 and 14 to get 17.