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8-\frac{6+1}{3}-\frac{2\times 3+1}{3}
Multiply 2 and 3 to get 6.
8-\frac{7}{3}-\frac{2\times 3+1}{3}
Add 6 and 1 to get 7.
\frac{24}{3}-\frac{7}{3}-\frac{2\times 3+1}{3}
Convert 8 to fraction \frac{24}{3}.
\frac{24-7}{3}-\frac{2\times 3+1}{3}
Since \frac{24}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{17}{3}-\frac{2\times 3+1}{3}
Subtract 7 from 24 to get 17.
\frac{17}{3}-\frac{6+1}{3}
Multiply 2 and 3 to get 6.
\frac{17}{3}-\frac{7}{3}
Add 6 and 1 to get 7.
\frac{17-7}{3}
Since \frac{17}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{10}{3}
Subtract 7 from 17 to get 10.