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\frac{2}{18}-\frac{1}{18}
Least common multiple of 9 and 18 is 18. Convert \frac{1}{9} and \frac{1}{18} to fractions with denominator 18.
\frac{2-1}{18}
Since \frac{2}{18} and \frac{1}{18} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{18}
Subtract 1 from 2 to get 1.