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\frac{20}{24}-\frac{21}{24}
Least common multiple of 6 and 8 is 24. Convert \frac{5}{6} and \frac{7}{8} to fractions with denominator 24.
\frac{20-21}{24}
Since \frac{20}{24} and \frac{21}{24} have the same denominator, subtract them by subtracting their numerators.
-\frac{1}{24}
Subtract 21 from 20 to get -1.