Solve frac{sqrt{3}}{4}divsqrt{3}

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

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Express \frac{\frac{\sqrt{3}}{4}}{\sqrt{3}} as a single fraction.

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

Rationalize the denominator of \frac{\sqrt{3}}{4\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{\sqrt{3}\sqrt{3}}{4\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

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

Multiply \sqrt{3} and \sqrt{3} to get 3.

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

Multiply 4 and 3 to get 12.

$$\frac{3}{12}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$