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\frac{11}{44}-\frac{8}{44}
Least common multiple of 4 and 11 is 44. Convert \frac{1}{4} and \frac{2}{11} to fractions with denominator 44.
\frac{11-8}{44}
Since \frac{11}{44} and \frac{8}{44} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{44}
Subtract 8 from 11 to get 3.