#### Answer

Because the "1" on top of the reciprocal is always positive and thus doesn't change the sign of the overall fraction.

#### Work Step by Step

If we take the reciprocal of a nonzero number, the sign stays the same:
If $x\gt 0$:
$\frac{1}{x}\gt 0$
If $x\lt 0$:
$\frac{1}{x}\lt 0$
This is because the "1" on top of the reciprocal is always positive and thus doesn't change the sign of the overall fraction (i.e. positive/negative=negative; positive/positive=positive).