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\frac{27}{6}+\frac{16}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{9}{2} and \frac{8}{3} to fractions with denominator 6.
\frac{27+16}{6}
Since \frac{27}{6} and \frac{16}{6} have the same denominator, add them by adding their numerators.
\frac{43}{6}
Add 27 and 16 to get 43.