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\frac{\left(1\times 2+1\right)\times 2}{2\left(2\times 2+1\right)}
Divide \frac{1\times 2+1}{2} by \frac{2\times 2+1}{2} by multiplying \frac{1\times 2+1}{2} by the reciprocal of \frac{2\times 2+1}{2}.
\frac{1+2}{1+2\times 2}
Cancel out 2 in both numerator and denominator.
\frac{3}{1+2\times 2}
Add 1 and 2 to get 3.
\frac{3}{1+4}
Multiply 2 and 2 to get 4.
\frac{3}{5}
Add 1 and 4 to get 5.