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\frac{10}{12}-\frac{9}{12}
Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{3}{4} to fractions with denominator 12.
\frac{10-9}{12}
Since \frac{10}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{12}
Subtract 9 from 10 to get 1.