Solve 1/2+frac{1{1+1}}

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

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Add 1 and 1 to get 2.

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

Convert 2 to fraction \frac{4}{2}.

$$\frac{1}{\frac{4}{2}+\frac{1}{2}}$$

Since \frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{4+1}{2}}$$

Add 4 and 1 to get 5.

$$\frac{1}{\frac{5}{2}}$$

Divide 1 by \frac{5}{2} by multiplying 1 by the reciprocal of \frac{5}{2}.

$$1\times \frac{2}{5}$$

Multiply 1 and \frac{2}{5} to get \frac{2}{5}.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$