Question 86

$$5 + \frac{1}{6 + \frac{1}{8 + \frac{1}{10}}} =$$

Solution

$$5+\frac{1}{6+\frac{1}{8+\frac{1}{10}}}=5+\frac{1}{6+\frac{1}{\frac{81}{10}}}$$

$$=5+\frac{1}{6+\frac{10}{81}}$$

$$=5+\frac{1}{\frac{496}{81}}$$

$$=5+\frac{81}{496}$$

$$=\frac{2561}{496}$$

Hence, the correct answer is Option D


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