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\frac{16}{24}+\frac{21}{24}
Least common multiple of 3 and 8 is 24. Convert \frac{2}{3} and \frac{7}{8} to fractions with denominator 24.
\frac{16+21}{24}
Since \frac{16}{24} and \frac{21}{24} have the same denominator, add them by adding their numerators.
\frac{37}{24}
Add 16 and 21 to get 37.