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\frac{32}{24}-\frac{15}{24}
Least common multiple of 3 and 8 is 24. Convert \frac{4}{3} and \frac{5}{8} to fractions with denominator 24.
\frac{32-15}{24}
Since \frac{32}{24} and \frac{15}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{17}{24}
Subtract 15 from 32 to get 17.