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\frac{45}{200}+\frac{44}{200}
Least common multiple of 40 and 50 is 200. Convert \frac{9}{40} and \frac{11}{50} to fractions with denominator 200.
\frac{45+44}{200}
Since \frac{45}{200} and \frac{44}{200} have the same denominator, add them by adding their numerators.
\frac{89}{200}
Add 45 and 44 to get 89.