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