Question 62

Evaluate: $$ \frac{1}{1  +  \frac{1}{1  +  \frac{1}{ {{1}  - {\frac{1}{2}}}}}} $$

Solution

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 $$ \frac{1}{1  +  \frac{1}{1  +  \frac{1}{ {{1}  - {\frac{1}{2}}}}}} $$ 

=$$ \frac{1}{1  +  \frac{1}{1  + 2}}$$

=$$ \frac{1}{1  +  \frac{1}{3}}$$

=$$ \frac{1}{ \frac{4}{3}}$$

=$$\frac{3}{4}$$

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