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\frac{4}{48}+\frac{9}{48}
Least common multiple of 12 and 16 is 48. Convert \frac{1}{12} and \frac{3}{16} to fractions with denominator 48.
\frac{4+9}{48}
Since \frac{4}{48} and \frac{9}{48} have the same denominator, add them by adding their numerators.
\frac{13}{48}
Add 4 and 9 to get 13.