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\frac{119}{21}+\frac{9}{21}
Least common multiple of 3 and 7 is 21. Convert \frac{17}{3} and \frac{3}{7} to fractions with denominator 21.
\frac{119+9}{21}
Since \frac{119}{21} and \frac{9}{21} have the same denominator, add them by adding their numerators.
\frac{128}{21}
Add 119 and 9 to get 128.