Simplify (3x+3)/2*4/(12x+12)

$\frac{3 x + 3}{2} \cdot \frac{4}{12 x + 12}$

Step 1

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

Factor $3$ out of $3 x$ .

$\frac{3 (x) + 3}{2} \cdot \frac{4}{12 x + 12}$

Factor $3$ out of $3$ .

$\frac{3 (x) + 3 (1)}{2} \cdot \frac{4}{12 x + 12}$

Factor $3$ out of $3 (x) + 3 (1)$ .

$\frac{3 (x + 1)}{2} \cdot \frac{4}{12 x + 12}$

Step 2

Factor $12$ out of $12 x + 12$ .

Factor $12$ out of $12 x$ .

$\frac{3 (x + 1)}{2} \cdot \frac{4}{12 (x) + 12}$

Factor $12$ out of $12$ .

$\frac{3 (x + 1)}{2} \cdot \frac{4}{12 (x) + 12 (1)}$

Factor $12$ out of $12 (x) + 12 (1)$ .

$\frac{3 (x + 1)}{2} \cdot \frac{4}{12 (x + 1)}$

Step 3

Cancel the common factor of $3 (x + 1)$ .

Factor $3 (x + 1)$ out of $12 (x + 1)$ .

$\frac{3 (x + 1)}{2} \cdot \frac{4}{3 (x + 1) (4)}$

Cancel the common factor.

$\frac{3 (x + 1)}{2} \cdot \frac{4}{3 (x + 1) \cdot 4}$

Rewrite the expression.

$\frac{1}{2} \cdot \frac{4}{4}$

Step 4

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{1}{2} \cdot \frac{2 (2)}{4}$

Cancel the common factor.

$\frac{1}{2} \cdot \frac{2 \cdot 2}{4}$

Rewrite the expression.

$\frac{2}{4}$

Step 5

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$\frac{2 (1)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$\frac{2 \cdot 1}{2 \cdot 2}$

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 2}$

Rewrite the expression.

$\frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

Simplify (3x+3)/2*4/(12x+12)

Related Questions

Support LCMGCF.com by disabling your adblocker.