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\frac{55}{66}-\frac{54}{66}
Least common multiple of 6 and 11 is 66. Convert \frac{5}{6} and \frac{9}{11} to fractions with denominator 66.
\frac{55-54}{66}
Since \frac{55}{66} and \frac{54}{66} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{66}
Subtract 54 from 55 to get 1.