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