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\frac{2+1}{2}\times \frac{4\times 3+2}{3}
Multiply 1 and 2 to get 2.
\frac{3}{2}\times \frac{4\times 3+2}{3}
Add 2 and 1 to get 3.
\frac{3}{2}\times \frac{12+2}{3}
Multiply 4 and 3 to get 12.
\frac{3}{2}\times \frac{14}{3}
Add 12 and 2 to get 14.
\frac{3\times 14}{2\times 3}
Multiply \frac{3}{2} times \frac{14}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{14}{2}
Cancel out 3 in both numerator and denominator.
7
Divide 14 by 2 to get 7.