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-\frac{1}{3}-\left(-2\right)-1
Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.
-\frac{1}{3}+2-1
The opposite of -2 is 2.
-\frac{1}{3}+\frac{6}{3}-1
Convert 2 to fraction \frac{6}{3}.
\frac{-1+6}{3}-1
Since -\frac{1}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.
\frac{5}{3}-1
Add -1 and 6 to get 5.
\frac{5}{3}-\frac{3}{3}
Convert 1 to fraction \frac{3}{3}.
\frac{5-3}{3}
Since \frac{5}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{2}{3}
Subtract 3 from 5 to get 2.