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

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

Evaluate

$$3$$

Solution Steps

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

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

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

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

Add 2 and 1 to get 3.

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

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

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

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

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

Subtract 1 from 2 to get 1.

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

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

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

Cancel out 2 and 2.

$$3$$

Factor

$$3$$