Evaluate (2pi)/((3pi)/2)

$\frac{2 π}{\frac{3 π}{2}}$

Multiply the numerator by the reciprocal of the denominator.

$2 π \frac{2}{3 π}$

Cancel the common factor of $π$ .

Factor $π$ out of $2 π$ .

$π \cdot 2 \frac{2}{3 π}$

Factor $π$ out of $3 π$ .

$π \cdot 2 \frac{2}{π \cdot 3}$

Cancel the common factor.

$π \cdot 2 \frac{2}{π \cdot 3}$

Rewrite the expression.

$2 (\frac{2}{3})$

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

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

Multiply $2$ by $2$ .

$\frac{4}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$