Divide -1/(6(1/(6x)))

$- \frac{1}{6 (\frac{1}{6 x})}$

Step 1

Combine $6$ and $\frac{1}{6 x}$ .

$- \frac{1}{\frac{6}{6 x}}$

Step 2

Reduce the expression $\frac{6}{6 x}$ by cancelling the common factors.

Cancel the common factor.

$- \frac{1}{\frac{6}{6 x}}$

Rewrite the expression.

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

Step 3

Multiply the numerator by the reciprocal of the denominator.

$- (1 x)$

Step 4

Multiply $x$ by $1$ .

$- x$