Simplify 1/(-24/25)

$\frac{1}{- \frac{24}{25}}$

Step 1

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

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

$\frac{- 1 (- 1)}{- \frac{24}{25}}$

Move the negative in front of the fraction.

$- \frac{1}{\frac{24}{25}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- (1 (\frac{25}{24}))$

Step 3

Multiply $\frac{25}{24}$ by $1$ .

$- \frac{25}{24}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{25}{24}$

Decimal Form:

$- 1.041\overline{6}$

Mixed Number Form:

$- 1 \frac{1}{24}$