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\frac{16}{24}+\frac{27}{24}
Least common multiple of 3 and 8 is 24. Convert \frac{2}{3} and \frac{9}{8} to fractions with denominator 24.
\frac{16+27}{24}
Since \frac{16}{24} and \frac{27}{24} have the same denominator, add them by adding their numerators.
\frac{43}{24}
Add 16 and 27 to get 43.