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\frac{153}{18}+\frac{8}{18}
Least common multiple of 2 and 9 is 18. Convert \frac{17}{2} and \frac{4}{9} to fractions with denominator 18.
\frac{153+8}{18}
Since \frac{153}{18} and \frac{8}{18} have the same denominator, add them by adding their numerators.
\frac{161}{18}
Add 153 and 8 to get 161.