Simplify 1/(4(-1/(4x)))

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

Step 1

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

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

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

Move the negative in front of the fraction.

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

Step 2

Combine $4$ and $\frac{1}{4 x}$ .

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

Step 3

Reduce the expression $\frac{4}{4 x}$ by cancelling the common factors.

Cancel the common factor.

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

Rewrite the expression.

$- \frac{1}{\frac{1}{x}}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$- (1 x)$

Step 5

Multiply $x$ by $1$ .

$- x$