Solve +1/1+frac{1{1+1}}

$$+ \frac { 1 } { 1 + \frac { 1 } { 1 + 1 } }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Add 1 and 1 to get 2.

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

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

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

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

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

Add 2 and 1 to get 3.

$$\frac{1}{\frac{3}{2}}$$

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

$$1\times \frac{2}{3}$$

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

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$