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