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