Evaluate (2pi)÷(pi/4)

$2 π \div \frac{π}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$2 π \frac{4}{π}$

Step 2

Cancel the common factor of $π$ .

Factor $π$ out of $2 π$ .

$π \cdot 2 \frac{4}{π}$

Cancel the common factor.

$π \cdot 2 \frac{4}{π}$

Rewrite the expression.

$2 \cdot 4$

Step 3

Multiply $2$ by $4$ .

$8$