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\frac{8}{6}-\frac{11}{6}
Least common multiple of 3 and 6 is 6. Convert \frac{4}{3} and \frac{11}{6} to fractions with denominator 6.
\frac{8-11}{6}
Since \frac{8}{6} and \frac{11}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{-3}{6}
Subtract 11 from 8 to get -3.
-\frac{1}{2}
Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.