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\frac{3+2}{3}+\frac{4\times 3+1}{3}
Multiply 1 and 3 to get 3.
\frac{5}{3}+\frac{4\times 3+1}{3}
Add 3 and 2 to get 5.
\frac{5}{3}+\frac{12+1}{3}
Multiply 4 and 3 to get 12.
\frac{5}{3}+\frac{13}{3}
Add 12 and 1 to get 13.
\frac{5+13}{3}
Since \frac{5}{3} and \frac{13}{3} have the same denominator, add them by adding their numerators.
\frac{18}{3}
Add 5 and 13 to get 18.
6
Divide 18 by 3 to get 6.