Question 104

The value of $$ 3 + \frac{3}{3 + \frac{1}{3+\frac{1}{3}}}$$ is

Solution

$$ 3 + \frac{3}{3 + \frac{1}{3+\frac{1}{3}}}$$

= $$ 3 + \frac{3}{3 +\frac{3}{10}}$$

= $$ 3 + \frac{3}{\frac{33}{10}}$$

= $$ 3 + \frac{30}{33}$$

= $$\frac{129}{33}$$

= $$\frac{43}{11}$$

so the answer is option B.

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