Write the Fraction in Simplest Form (4a-1)/(1-4a)

$\frac{4 a - 1}{1 - 4 a}$

Factor $- 1$ out of $4 a$ .

$\frac{- (- 4 a) - 1}{1 - 4 a}$

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

$\frac{- (- 4 a) - 1 (1)}{1 - 4 a}$

Factor $- 1$ out of $- (- 4 a) - 1 (1)$ .

$\frac{- (- 4 a + 1)}{1 - 4 a}$

Rewrite $- (- 4 a + 1)$ as $- 1 (- 4 a + 1)$ .

$\frac{- 1 (- 4 a + 1)}{1 - 4 a}$

Reorder terms.

$\frac{- 1 (- 4 a + 1)}{- 4 a + 1}$

Cancel the common factor.

$\frac{- 1 (- 4 a + 1)}{- 4 a + 1}$

Divide $- 1$ by $1$ .

$- 1$