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

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

Evaluate

$$4$$

Solution Steps

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

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

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

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

Add 1 and 2 to get 3.

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

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

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

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

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

Subtract 1 from 2 to get 1.

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

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

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

Cancel out 2 and 2.

$$3+1$$

Add 3 and 1 to get 4.

$$4$$

Factor

$$2^{2}$$