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\frac{11}{12}-\frac{9}{12}
Least common multiple of 12 and 4 is 12. Convert \frac{11}{12} and \frac{3}{4} to fractions with denominator 12.
\frac{11-9}{12}
Since \frac{11}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{2}{12}
Subtract 9 from 11 to get 2.
\frac{1}{6}
Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.