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\frac{2+2}{2}-\frac{2\times 3+1}{3}
Multiply 1 and 2 to get 2.
\frac{4}{2}-\frac{2\times 3+1}{3}
Add 2 and 2 to get 4.
2-\frac{2\times 3+1}{3}
Divide 4 by 2 to get 2.
2-\frac{6+1}{3}
Multiply 2 and 3 to get 6.
2-\frac{7}{3}
Add 6 and 1 to get 7.
\frac{6}{3}-\frac{7}{3}
Convert 2 to fraction \frac{6}{3}.
\frac{6-7}{3}
Since \frac{6}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.
-\frac{1}{3}
Subtract 7 from 6 to get -1.