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

The solution to 2/(1+\frac{2){1+2/x}} is (2(x+2))/(3x+2)

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

simplify

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

\frac{2 ( x + 2 )}{3 x + 2}

Solution steps

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

Simplify

1 + \frac{2}{1 + \frac{2}{x}} : \frac{3 x + 2}{x + 2}

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

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{2 ( x + 2 )}{3 x + 2}

5 (- 3 x)

\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2}

(4 x^{2} - 7 x - 2) - (- 3 x - 8)

4 a b^{2} + 4 a^{2} - 4 b^{2} x - 4 a x

(x + 2) (2 x + 1)

What is 2/(1+\frac{2){1+2/x}} ?
The solution to 2/(1+\frac{2){1+2/x}} is (2(x+2))/(3x+2)