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\frac{12}{27}+\frac{13}{27}
Least common multiple of 9 and 27 is 27. Convert \frac{4}{9} and \frac{13}{27} to fractions with denominator 27.
\frac{12+13}{27}
Since \frac{12}{27} and \frac{13}{27} have the same denominator, add them by adding their numerators.
\frac{25}{27}
Add 12 and 13 to get 25.