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