Solve -2+(2*frac{sqrt{2}}{4})

$$- 2 + ( 2 \times \frac { \sqrt { 2 } } { 4 } )$$

Evaluate

$$\frac{\sqrt{2}}{2}-2\approx -1.292893219$$

Short Solution Steps

Cancel out 4, the greatest common factor in 2 and 4.

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

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

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

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

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

Do the multiplications in -2\times 2+\sqrt{2}.

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

Factor

$$\frac{\sqrt{2} - 4}{2} = -1.2928932188134525$$