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\frac{10}{36}+\frac{21}{36}
Least common multiple of 18 and 12 is 36. Convert \frac{5}{18} and \frac{7}{12} to fractions with denominator 36.
\frac{10+21}{36}
Since \frac{10}{36} and \frac{21}{36} have the same denominator, add them by adding their numerators.
\frac{31}{36}
Add 10 and 21 to get 31.