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\frac{5}{8}+\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{15}{24}+\frac{16}{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}
Since \frac{15}{24} and \frac{16}{24} have the same denominator, add them by adding their numerators.
\frac{31}{24}
Add 15 and 16 to get 31.