Solve 2/4divfrac{sqrt{3}}{2}=

$$\frac{ 2 }{ 4 } \div \frac{ \sqrt{ 3 } }{ 2 } =$$

Evaluate

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

Solution Steps

Divide \frac{2}{4} by \frac{\sqrt{3}}{2} by multiplying \frac{2}{4} by the reciprocal of \frac{\sqrt{3}}{2}.

$$\frac{2\times 2}{4\sqrt{3}}$$

Cancel out 2\times 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.

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