Solution
$$ \frac{1}{1 + \frac{1}{1 + \frac{1}{ {{1} - {\frac{1}{2}}}}}} $$
=$$ \frac{1}{1 + \frac{1}{1 + 2}}$$
=$$ \frac{1}{1 + \frac{1}{3}}$$
=$$ \frac{1}{ \frac{4}{3}}$$
=$$\frac{3}{4}$$
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