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\frac{35}{42}-\frac{24}{42}
Least common multiple of 6 and 7 is 42. Convert \frac{5}{6} and \frac{4}{7} to fractions with denominator 42.
\frac{35-24}{42}
Since \frac{35}{42} and \frac{24}{42} have the same denominator, subtract them by subtracting their numerators.
\frac{11}{42}
Subtract 24 from 35 to get 11.