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\frac{35}{200}+\frac{36}{200}
Least common multiple of 40 and 50 is 200. Convert \frac{7}{40} and \frac{9}{50} to fractions with denominator 200.
\frac{35+36}{200}
Since \frac{35}{200} and \frac{36}{200} have the same denominator, add them by adding their numerators.
\frac{71}{200}
Add 35 and 36 to get 71.