If 2 = x + 1/(1 + 1/(5 + 1/2)) , then the value of x is equal to:

If 2 = x + 1/(1 + 1/(5 + 1/2)) , then the value of x is…

If 2 = x + $\frac{1}{1 + \frac{1}{5 + \frac{1}{2}}}$ , then the value of x is equal to:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 15/13

⇒ 2 = x + $\frac{1}{1 + \frac{1}{5 + \frac{1}{2}}}$

⇒ 2 = x + $\frac{1}{1 + \frac{1}{\frac{10 + 1}{2}}}$

⇒ 2 = x + $\frac{1}{1 + \frac{2}{11}}$

⇒ 2 = x + $\frac{1}{\frac{11+ 2}{11}}$

⇒ 2 = x + $\frac{11}{13}$

⇒ x = 2 - 11/13 = 15/13