Question

A) 3/2
(B) 5/2
(C) 2/3
(D) 5/3
(E) 2

Answer 1

Resolução:

$x = 1 + \frac{1}{ 1 + \frac{1}{1 + 1} }$

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

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

$x = 1 + \frac{1}{\frac{3}{2} }$

$x = 1 + (1 \div \frac{3}{2} )$

$x = 1 + (1 \times \frac{2}{3} )$

$x = 1 + \frac{2}{3}$

$x = \frac{3}{3} + \frac{2}{3}$

$x = \frac{5}{3}$

Alternativa D, bons estudos.