Solve frac{frac{sqrt{2}}{2}-2/2}{-3}

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

Evaluate

$$-\frac{\sqrt{2}}{6}+\frac{1}{3}\approx 0.097631073$$

Solution Steps

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

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

Express \frac{\frac{\sqrt{2}-2}{2}}{-3} as a single fraction.

$$\frac{\sqrt{2}-2}{2\left(-3\right)}$$

Multiply 2 and -3 to get -6.

$$\frac{\sqrt{2}-2}{-6}$$

Multiply both numerator and denominator by -1.

$$\frac{-\sqrt{2}+2}{6}$$

Factor

$$\frac{\sqrt{2} {(\sqrt{2} - 1)}}{6} = 0.09763107293781752$$