Evaluate (2pi)/(-pi/2)

$\frac{2 π}{- \frac{π}{2}}$

Multiply the numerator by the reciprocal of the denominator.

$2 π (- \frac{2}{π})$

Cancel the common factor of $π$ .

Move the leading negative in $- \frac{2}{π}$ into the numerator.

$2 π \frac{- 2}{π}$

Factor $π$ out of $2 π$ .

$π \cdot 2 \frac{- 2}{π}$

Cancel the common factor.

$π \cdot 2 \frac{- 2}{π}$

Rewrite the expression.

$2 \cdot - 2$

Multiply $2$ by $- 2$ .

$- 4$