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\frac{15}{72}-\frac{32}{72}
Least common multiple of 24 and 9 is 72. Convert \frac{5}{24} and \frac{4}{9} to fractions with denominator 72.
\frac{15-32}{72}
Since \frac{15}{72} and \frac{32}{72} have the same denominator, subtract them by subtracting their numerators.
-\frac{17}{72}
Subtract 32 from 15 to get -17.