Algebra Examples

$\frac{2 x + 4}{6 x + 12}$

Step 1

Cancel the common factor of $2 x + 4$ and $6 x + 12$ .

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Step 1.1

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 4}{6 x + 12}$

Step 1.2

Factor $2$ out of $4$ .

$\frac{2 x + 2 \cdot 2}{6 x + 12}$

Step 1.3

Factor $2$ out of $2 x + 2 \cdot 2$ .

$\frac{2 (x + 2)}{6 x + 12}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $6 x$ .

$\frac{2 (x + 2)}{2 (3 x) + 12}$

Step 1.4.2

Factor $2$ out of $12$ .

$\frac{2 (x + 2)}{2 (3 x) + 2 (6)}$

Step 1.4.3

Factor $2$ out of $2 (3 x) + 2 (6)$ .

$\frac{2 (x + 2)}{2 (3 x + 6)}$

Step 1.4.4

Cancel the common factor.

$\frac{2 (x + 2)}{2 (3 x + 6)}$

Step 1.4.5

Rewrite the expression.

$\frac{x + 2}{3 x + 6}$

$\frac{x + 2}{3 x + 6}$

$\frac{x + 2}{3 x + 6}$

Step 2

Factor $3$ out of $3 x + 6$ .

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Step 2.1

Factor $3$ out of $3 x$ .

$\frac{x + 2}{3 (x) + 6}$

Step 2.2

Factor $3$ out of $6$ .

$\frac{x + 2}{3 x + 3 \cdot 2}$

Step 2.3

Factor $3$ out of $3 x + 3 \cdot 2$ .

$\frac{x + 2}{3 (x + 2)}$

$\frac{x + 2}{3 (x + 2)}$

Step 3

Cancel the common factor of $x + 2$ .

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Step 3.1

Cancel the common factor.

$\frac{x + 2}{3 (x + 2)}$

Step 3.2

Rewrite the expression.

$\frac{1}{3}$

$\frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$

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