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\frac{2+1}{2}\times \frac{1}{3}+2
Multiply 1 and 2 to get 2.
\frac{3}{2}\times \frac{1}{3}+2
Add 2 and 1 to get 3.
\frac{3\times 1}{2\times 3}+2
Multiply \frac{3}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{2}+2
Cancel out 3 in both numerator and denominator.
\frac{1}{2}+\frac{4}{2}
Convert 2 to fraction \frac{4}{2}.
\frac{1+4}{2}
Since \frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.
\frac{5}{2}
Add 1 and 4 to get 5.