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W=1+\frac{1}{\frac{2}{2}+\frac{1}{2}}
Convert 1 to fraction \frac{2}{2}.
W=1+\frac{1}{\frac{2+1}{2}}
Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
W=1+\frac{1}{\frac{3}{2}}
Add 2 and 1 to get 3.
W=1+1\times \frac{2}{3}
Divide 1 by \frac{3}{2} by multiplying 1 by the reciprocal of \frac{3}{2}.
W=1+\frac{2}{3}
Multiply 1 and \frac{2}{3} to get \frac{2}{3}.
W=\frac{3}{3}+\frac{2}{3}
Convert 1 to fraction \frac{3}{3}.
W=\frac{3+2}{3}
Since \frac{3}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.
W=\frac{5}{3}
Add 3 and 2 to get 5.