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\frac{45}{200}+\frac{52}{200}
Least common multiple of 40 and 50 is 200. Convert \frac{9}{40} and \frac{13}{50} to fractions with denominator 200.
\frac{45+52}{200}
Since \frac{45}{200} and \frac{52}{200} have the same denominator, add them by adding their numerators.
\frac{97}{200}
Add 45 and 52 to get 97.