Simplify (2x+4)/(6x+12)

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

Step 1

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

Factor $2$ out of $2 x$ .

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

Factor $2$ out of $4$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $6 x$ .

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

Factor $2$ out of $12$ .

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

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

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

Cancel the common factor.

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

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 $3 x + 6$ .

Factor $3$ out of $3 x$ .

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

Factor $3$ out of $6$ .

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

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 $x + 2$ .

Cancel the common factor.

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

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:

$0.\overline{3}$

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