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\frac{399}{42}+\frac{110}{42}
Least common multiple of 2 and 21 is 42. Convert \frac{19}{2} and \frac{55}{21} to fractions with denominator 42.
\frac{399+110}{42}
Since \frac{399}{42} and \frac{110}{42} have the same denominator, add them by adding their numerators.
\frac{509}{42}
Add 399 and 110 to get 509.