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-\frac{44}{20}+\frac{45}{20}
Least common multiple of 5 and 4 is 20. Convert -\frac{11}{5} and \frac{9}{4} to fractions with denominator 20.
\frac{-44+45}{20}
Since -\frac{44}{20} and \frac{45}{20} have the same denominator, add them by adding their numerators.
\frac{1}{20}
Add -44 and 45 to get 1.