Solve -1/2/sqrt{3/2}

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

Evaluate

$$-\frac{\sqrt{3}}{3}\approx -0.577350269$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

$$\frac{-1}{\sqrt{3}}$$

Rationalize the denominator of \frac{-1}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

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

The square of \sqrt{3} is 3.

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