Evaluate -1/(-1/2)

$- \frac{1}{- \frac{1}{2}}$

Step 1

Cancel the common factor of $1$ and $- 1$ .

Rewrite $1$ as $- 1 (- 1)$ .

$- \frac{- 1 (- 1)}{- \frac{1}{2}}$

Move the negative in front of the fraction.

$- - \frac{1}{\frac{1}{2}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- - (1 \cdot 2)$

Step 3

Multiply $- - (1 \cdot 2)$ .

Multiply $2$ by $1$ .

$- (- 1 \cdot 2)$

Multiply $- 1$ by $2$ .

$- - 2$

Multiply $- 1$ by $- 2$ .

$2$