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