Solve frac{1-frac{sqrt{2}}{2}}{2}

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

Evaluate

$$-\frac{\sqrt{2}}{4}+\frac{1}{2}\approx 0.146446609$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

$$\frac{\frac{2}{2}-\frac{\sqrt{2}}{2}}{2}$$

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

$$\frac{\frac{2-\sqrt{2}}{2}}{2}$$

Express \frac{\frac{2-\sqrt{2}}{2}}{2} as a single fraction.

$$\frac{2-\sqrt{2}}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{2-\sqrt{2}}{4}$$

Factor

$$\frac{\sqrt{2} {(\sqrt{2} - 1)}}{4} = 0.14644660940672627$$