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\frac{55}{30}-\frac{66}{30}
Least common multiple of 6 and 5 is 30. Convert \frac{11}{6} and \frac{11}{5} to fractions with denominator 30.
\frac{55-66}{30}
Since \frac{55}{30} and \frac{66}{30} have the same denominator, subtract them by subtracting their numerators.
-\frac{11}{30}
Subtract 66 from 55 to get -11.