Question 62

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

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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