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\frac{13}{18}-\frac{3}{18}
Least common multiple of 18 and 6 is 18. Convert \frac{13}{18} and \frac{1}{6} to fractions with denominator 18.
\frac{13-3}{18}
Since \frac{13}{18} and \frac{3}{18} have the same denominator, subtract them by subtracting their numerators.
\frac{10}{18}
Subtract 3 from 13 to get 10.
\frac{5}{9}
Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.