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

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

Evaluate

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

Solution Steps

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

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

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

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

Add 1 and 2 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

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