Precalculus Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Move the negative in front of the fraction.

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

Step 2

Simplify the denominator.

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Step 2.1

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

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

Step 2.2

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

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

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

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

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Step 3.1.1

Cancel the common factor.

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

Step 3.1.2

Rewrite the expression.

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

Step 3.2

Divide $x$ by $1$ .

$- \frac{1}{x}$