What is 2-1/(2-\frac{2){2+1/x}} ?

The solution to 2-1/(2-\frac{2){2+1/x}} is 2-(2x+1)/(2x+2)

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simplify 2-1/(2-\frac{2){2+1/x}}

simplify

2 - \frac{1}{2 - \frac{2}{2 + \frac{1}{x}}}

2 - \frac{2 x + 1}{2 x + 2}

Solution steps

2 - \frac{1}{2 - \frac{2}{2 + \frac{1}{x}}}

Simplify

2 - \frac{2}{2 + \frac{1}{x}} : \frac{2 x + 2}{2 x + 1}

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

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

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

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What is 2-1/(2-\frac{2){2+1/x}} ?
The solution to 2-1/(2-\frac{2){2+1/x}} is 2-(2x+1)/(2x+2)