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\frac{32}{40}-\frac{15}{40}
Least common multiple of 5 and 8 is 40. Convert \frac{4}{5} and \frac{3}{8} to fractions with denominator 40.
\frac{32-15}{40}
Since \frac{32}{40} and \frac{15}{40} have the same denominator, subtract them by subtracting their numerators.
\frac{17}{40}
Subtract 15 from 32 to get 17.