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\frac{15+1}{3}-\frac{2\times 3+2}{3}
Multiply 5 and 3 to get 15.
\frac{16}{3}-\frac{2\times 3+2}{3}
Add 15 and 1 to get 16.
\frac{16}{3}-\frac{6+2}{3}
Multiply 2 and 3 to get 6.
\frac{16}{3}-\frac{8}{3}
Add 6 and 2 to get 8.
\frac{16-8}{3}
Since \frac{16}{3} and \frac{8}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{8}{3}
Subtract 8 from 16 to get 8.