Question 82

Evaluate: $$\frac{1}{2 + \frac{1}{3 + \frac{1}{4 + \frac{1}{5}}}}$$

Solution

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Simplify the equation

=$$\frac{1}{2 + \frac{1}{3 + \frac{1}{\frac{21}{5}}}}$$

= $$\frac{1}{2 + {\frac{1}{\frac{68}{21}}}}$$

= $$\frac{1}{2 + {\frac{21}{68}}}$$

= $$\frac{1}{\frac{157}{68}}$$

= $$\frac{68}{157}$$

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