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\frac{24}{27}+\frac{19}{27}
Least common multiple of 9 and 27 is 27. Convert \frac{8}{9} and \frac{19}{27} to fractions with denominator 27.
\frac{24+19}{27}
Since \frac{24}{27} and \frac{19}{27} have the same denominator, add them by adding their numerators.
\frac{43}{27}
Add 24 and 19 to get 43.