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\frac{112}{266}+\frac{171}{266}
Least common multiple of 19 and 14 is 266. Convert \frac{8}{19} and \frac{9}{14} to fractions with denominator 266.
\frac{112+171}{266}
Since \frac{112}{266} and \frac{171}{266} have the same denominator, add them by adding their numerators.
\frac{283}{266}
Add 112 and 171 to get 283.