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\frac{27}{36}+\frac{4}{36}
Least common multiple of 4 and 9 is 36. Convert \frac{3}{4} and \frac{1}{9} to fractions with denominator 36.
\frac{27+4}{36}
Since \frac{27}{36} and \frac{4}{36} have the same denominator, add them by adding their numerators.
\frac{31}{36}
Add 27 and 4 to get 31.