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\frac{16}{108}+\frac{15}{108}
Least common multiple of 27 and 36 is 108. Convert \frac{4}{27} and \frac{5}{36} to fractions with denominator 108.
\frac{16+15}{108}
Since \frac{16}{108} and \frac{15}{108} have the same denominator, add them by adding their numerators.
\frac{31}{108}
Add 16 and 15 to get 31.