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\frac{27}{18}+\frac{16}{18}
Least common multiple of 2 and 9 is 18. Convert \frac{3}{2} and \frac{8}{9} to fractions with denominator 18.
\frac{27+16}{18}
Since \frac{27}{18} and \frac{16}{18} have the same denominator, add them by adding their numerators.
\frac{43}{18}
Add 27 and 16 to get 43.