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\frac{45-11}{6}
Since \frac{45}{6} and \frac{11}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{34}{6}
Subtract 11 from 45 to get 34.
\frac{17}{3}
Reduce the fraction \frac{34}{6} to lowest terms by extracting and canceling out 2.