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

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

Multiply the numerator by the reciprocal of the denominator.

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

Multiply $\frac{- \frac{\sqrt{3}}{2}}{2}$ by $1$ .

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

Multiply the numerator by the reciprocal of the denominator.

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

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

Multiply $\frac{1}{2}$ by $\frac{\sqrt{3}}{2}$ .

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

Multiply $2$ by $2$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 0.43301270 \dots$