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\frac{16}{24}+\frac{23}{24}
Least common multiple of 3 and 24 is 24. Convert \frac{2}{3} and \frac{23}{24} to fractions with denominator 24.
\frac{16+23}{24}
Since \frac{16}{24} and \frac{23}{24} have the same denominator, add them by adding their numerators.
\frac{39}{24}
Add 16 and 23 to get 39.
\frac{13}{8}
Reduce the fraction \frac{39}{24} to lowest terms by extracting and canceling out 3.