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\frac{27}{24}-\frac{14}{24}
Least common multiple of 8 and 12 is 24. Convert \frac{9}{8} and \frac{7}{12} to fractions with denominator 24.
\frac{27-14}{24}
Since \frac{27}{24} and \frac{14}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{13}{24}
Subtract 14 from 27 to get 13.