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\frac{45}{60}-\frac{32}{60}
Least common multiple of 4 and 15 is 60. Convert \frac{3}{4} and \frac{8}{15} to fractions with denominator 60.
\frac{45-32}{60}
Since \frac{45}{60} and \frac{32}{60} have the same denominator, subtract them by subtracting their numerators.
\frac{13}{60}
Subtract 32 from 45 to get 13.