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\frac{45+2}{3}-\frac{8\times 3+1}{3}
Multiply 15 and 3 to get 45.
\frac{47}{3}-\frac{8\times 3+1}{3}
Add 45 and 2 to get 47.
\frac{47}{3}-\frac{24+1}{3}
Multiply 8 and 3 to get 24.
\frac{47}{3}-\frac{25}{3}
Add 24 and 1 to get 25.
\frac{47-25}{3}
Since \frac{47}{3} and \frac{25}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{22}{3}
Subtract 25 from 47 to get 22.