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\frac{9}{24}-\frac{20}{24}
Least common multiple of 8 and 6 is 24. Convert \frac{3}{8} and \frac{5}{6} to fractions with denominator 24.
\frac{9-20}{24}
Since \frac{9}{24} and \frac{20}{24} have the same denominator, subtract them by subtracting their numerators.
-\frac{11}{24}
Subtract 20 from 9 to get -11.