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

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

Evaluate

$$5$$

Solution Steps

The opposite of -\frac{1}{2} is \frac{1}{2}.

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

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

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

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

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

Add 4 and 1 to get 5.

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

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

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

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

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

Add -1 and 2 to get 1.

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

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

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

Cancel out 2 and 2.

$$5$$

Factor

$$5$$