Find the Exact Value (2pi)/(3/2)

$\frac{2 π}{\frac{3}{2}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$2 π \frac{2}{3}$

Step 2

Multiply $2 π \frac{2}{3}$ .

Combine $\frac{2}{3}$ and $2$ .

$\frac{2 \cdot 2}{3} π$

Multiply $2$ by $2$ .

$\frac{4}{3} π$

Combine $\frac{4}{3}$ and $π$ .

$\frac{4 π}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{4 π}{3}$

Decimal Form:

$4.18879020 \dots$