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