Evaluate (( square root of 3)/2)÷(-1/2)

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

To divide by a fraction, multiply by its reciprocal.

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

Combine $\sqrt{3}$ and $\frac{1}{- 1}$ .

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

Simplify the expression.

Move the negative one from the denominator of $\frac{\sqrt{3}}{- 1}$ .

$- 1 \cdot \sqrt{3}$

Rewrite $- 1 \cdot \sqrt{3}$ as $- \sqrt{3}$ .

$- \sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{3}$

Decimal Form:

$- 1.73205080 \dots$