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This question belongs to Arithmetic Ability Simplification
Simplification
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If $$2 = x + \frac{1}{{1 + \frac{1}{{5 + \frac{1}{2}}}}},$$    then the value of x is equal to:

Answer & Solution
Correct Answer: Option D
$$\eqalign{ & 2 = x + \frac{1}{{1 + \frac{1}{{5 + \frac{1}{2}}}}} \cr & 2 = x + \frac{1}{{1 + \frac{1}{{\frac{{11}}{2}}}}} \cr & 2 = x + \frac{1}{{\frac{{11 + 2}}{{11}}}} \cr & 2 = x + \frac{{11}}{{13}} \cr & 2 - \frac{{11}}{{13}} = x \cr & x = \frac{{15}}{{13}} \cr} $$
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