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\frac{4}{144}+\frac{9}{144}
Least common multiple of 36 and 16 is 144. Convert \frac{1}{36} and \frac{1}{16} to fractions with denominator 144.
\frac{4+9}{144}
Since \frac{4}{144} and \frac{9}{144} have the same denominator, add them by adding their numerators.
\frac{13}{144}
Add 4 and 9 to get 13.