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

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

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

simplify

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

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

Solution steps

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

Simplify

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

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

Apply the fraction rule:

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

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

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

16900

(\frac{15}{4})^{2}

\frac{x ^{2} + 16 x + 64}{x ^{2} - 2 x - 80}

\frac{x + 1}{x - 6} - \frac{x - 3}{x}

(x + h)^{7}

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