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\frac{8}{24}-\frac{5}{24}
Least common multiple of 3 and 24 is 24. Convert \frac{1}{3} and \frac{5}{24} to fractions with denominator 24.
\frac{8-5}{24}
Since \frac{8}{24} and \frac{5}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{24}
Subtract 5 from 8 to get 3.
\frac{1}{8}
Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.