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\frac{4}{18}+\frac{27}{18}
Least common multiple of 9 and 2 is 18. Convert \frac{2}{9} and \frac{3}{2} to fractions with denominator 18.
\frac{4+27}{18}
Since \frac{4}{18} and \frac{27}{18} have the same denominator, add them by adding their numerators.
\frac{31}{18}
Add 4 and 27 to get 31.