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\left(\frac{15}{24}+\frac{16}{24}\right)\times 24
Least common multiple of 8 and 3 is 24. Convert \frac{5}{8} and \frac{2}{3} to fractions with denominator 24.
\frac{15+16}{24}\times 24
Since \frac{15}{24} and \frac{16}{24} have the same denominator, add them by adding their numerators.
\frac{31}{24}\times 24
Add 15 and 16 to get 31.
31
Cancel out 24 and 24.