Evaluate (2pi)/((5pi)/2)

$\frac{2 π}{\frac{5 π}{2}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$2 π \frac{2}{5 π}$

Step 2

Cancel the common factor of $π$ .

Factor $π$ out of $2 π$ .

$π \cdot 2 \frac{2}{5 π}$

Factor $π$ out of $5 π$ .

$π \cdot 2 \frac{2}{π \cdot 5}$

Cancel the common factor.

$π \cdot 2 \frac{2}{π \cdot 5}$

Rewrite the expression.

$2 (\frac{2}{5})$

Step 3

Combine $2$ and $\frac{2}{5}$ .

$\frac{2 \cdot 2}{5}$

Step 4

Multiply $2$ by $2$ .

$\frac{4}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$