Pre-Algebra Examples

$\frac{x - 4}{12 - 3 x}$

Step 1

Factor $3$ out of $12 - 3 x$ .

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Step 1.1

Factor $3$ out of $12$ .

$\frac{x - 4}{3 (4) - 3 x}$

Step 1.2

Factor $3$ out of $- 3 x$ .

$\frac{x - 4}{3 (4) + 3 (- x)}$

Step 1.3

Factor $3$ out of $3 (4) + 3 (- x)$ .

$\frac{x - 4}{3 (4 - x)}$

$\frac{x - 4}{3 (4 - x)}$

Step 2

Cancel the common factor of $x - 4$ and $4 - x$ .

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Step 2.1

Factor $- 1$ out of $x$ .

$\frac{- 1 (- x) - 4}{3 (4 - x)}$

Step 2.2

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

$\frac{- 1 (- x) - 1 (4)}{3 (4 - x)}$

Step 2.3

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

$\frac{- 1 (- x + 4)}{3 (4 - x)}$

Step 2.4

Reorder terms.

$\frac{- 1 (- x + 4)}{3 (- x + 4)}$

Step 2.5

Cancel the common factor.

$\frac{- 1 (- x + 4)}{3 (- x + 4)}$

Step 2.6

Rewrite the expression.

$\frac{- 1}{3}$

$\frac{- 1}{3}$

Step 3

Move the negative in front of the fraction.

$- \frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{3}$

Decimal Form:

$- 0.\overline{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$