Algebra Examples

$\frac{1}{2 (- \frac{1}{2 x})}$

Step 1

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

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Step 1.1

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

$\frac{- 1 (- 1)}{2 (- \frac{1}{2 x})}$

Step 1.2

Move the negative in front of the fraction.

$- \frac{1}{2 (\frac{1}{2 x})}$

Step 2

Combine $2$ and $\frac{1}{2 x}$ .

$- \frac{1}{\frac{2}{2 x}}$

Step 3

Reduce the expression $\frac{2}{2 x}$ by cancelling the common factors.

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Step 3.1

Cancel the common factor.

$- \frac{1}{\frac{2}{2 x}}$

Step 3.2

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 $1$ .

$- x$