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\frac{18}{66}-\frac{55}{66}
Least common multiple of 11 and 6 is 66. Convert \frac{3}{11} and \frac{5}{6} to fractions with denominator 66.
\frac{18-55}{66}
Since \frac{18}{66} and \frac{55}{66} have the same denominator, subtract them by subtracting their numerators.
-\frac{37}{66}
Subtract 55 from 18 to get -37.