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\frac{18}{57}+\frac{38}{57}
Least common multiple of 19 and 3 is 57. Convert \frac{6}{19} and \frac{2}{3} to fractions with denominator 57.
\frac{18+38}{57}
Since \frac{18}{57} and \frac{38}{57} have the same denominator, add them by adding their numerators.
\frac{56}{57}
Add 18 and 38 to get 56.