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\frac{200}{22}-\frac{11}{22}
Least common multiple of 11 and 2 is 22. Convert \frac{100}{11} and \frac{1}{2} to fractions with denominator 22.
\frac{200-11}{22}
Since \frac{200}{22} and \frac{11}{22} have the same denominator, subtract them by subtracting their numerators.
\frac{189}{22}
Subtract 11 from 200 to get 189.