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\frac{1}{18}+\frac{2}{18}
Least common multiple of 18 and 9 is 18. Convert \frac{1}{18} and \frac{1}{9} to fractions with denominator 18.
\frac{1+2}{18}
Since \frac{1}{18} and \frac{2}{18} have the same denominator, add them by adding their numerators.
\frac{3}{18}
Add 1 and 2 to get 3.
\frac{1}{6}
Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.