Solve x=1+1/1+1{1+frac{1/1}}

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

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Anything divided by one gives itself.

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

Add 1 and 1 to get 2.

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

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

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

Divide 1 by \frac{3}{2} by multiplying 1 by the reciprocal of \frac{3}{2}.

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

Multiply 1 and \frac{2}{3} to get \frac{2}{3}.

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

Convert 1 to fraction \frac{3}{3}.

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

Since \frac{3}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

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

Assign x

$$x≔\frac{5}{3}$$