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\frac{22}{55}+\frac{15}{55}
Least common multiple of 5 and 11 is 55. Convert \frac{2}{5} and \frac{3}{11} to fractions with denominator 55.
\frac{22+15}{55}
Since \frac{22}{55} and \frac{15}{55} have the same denominator, add them by adding their numerators.
\frac{37}{55}
Add 22 and 15 to get 37.