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\frac{16}{36}+\frac{3}{36}
Least common multiple of 9 and 12 is 36. Convert \frac{4}{9} and \frac{1}{12} to fractions with denominator 36.
\frac{16+3}{36}
Since \frac{16}{36} and \frac{3}{36} have the same denominator, add them by adding their numerators.
\frac{19}{36}
Add 16 and 3 to get 19.