Evaluate $$\frac{1}{2+\dfrac{1}{2+\dfrac{1}{2}}}$$ 
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$$\frac{1}{2+\dfrac{1}{2+\dfrac{1}{2}}}=\frac{1}{2+ \dfrac{1}{ \dfrac{5}{2}}}= \frac{1}{2+ \dfrac{2}{5}}= \frac{1}{ \dfrac{12}{5}}= \frac{5}{12}$$. 