Find the Exact Value 1/(2/(( square root of 3)/2))

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

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

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

Step 3

Multiply the numerator by the reciprocal of the denominator.

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

Step 4

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

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

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

Multiply $2$ by $2$ .

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.43301270 \dots$