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\frac{8}{24}+\frac{7}{24}
Least common multiple of 3 and 24 is 24. Convert \frac{1}{3} and \frac{7}{24} to fractions with denominator 24.
\frac{8+7}{24}
Since \frac{8}{24} and \frac{7}{24} have the same denominator, add them by adding their numerators.
\frac{15}{24}
Add 8 and 7 to get 15.
\frac{5}{8}
Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.