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2-\frac{1}{2}-\frac{1}{3}
Reduce the fraction \frac{13}{26} to lowest terms by extracting and canceling out 13.
\frac{4}{2}-\frac{1}{2}-\frac{1}{3}
Convert 2 to fraction \frac{4}{2}.
\frac{4-1}{2}-\frac{1}{3}
Since \frac{4}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{2}-\frac{1}{3}
Subtract 1 from 4 to get 3.
\frac{9}{6}-\frac{2}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{1}{3} to fractions with denominator 6.
\frac{9-2}{6}
Since \frac{9}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{7}{6}
Subtract 2 from 9 to get 7.