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

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{\sqrt{3}}{2}$ into the numerator.

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

Cancel the common factor.

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

Rewrite the expression.

$- \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{3}$

Decimal Form:

$- 1.73205080 \dots$