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\frac{44}{55}-\frac{45}{55}
Least common multiple of 5 and 11 is 55. Convert \frac{4}{5} and \frac{9}{11} to fractions with denominator 55.
\frac{44-45}{55}
Since \frac{44}{55} and \frac{45}{55} have the same denominator, subtract them by subtracting their numerators.
-\frac{1}{55}
Subtract 45 from 44 to get -1.