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