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\frac{26}{18}-\frac{17}{18}
Least common multiple of 9 and 18 is 18. Convert \frac{13}{9} and \frac{17}{18} to fractions with denominator 18.
\frac{26-17}{18}
Since \frac{26}{18} and \frac{17}{18} have the same denominator, subtract them by subtracting their numerators.
\frac{9}{18}
Subtract 17 from 26 to get 9.
\frac{1}{2}
Reduce the fraction \frac{9}{18} to lowest terms by extracting and canceling out 9.