Simplify (2x+28)/3*12/(4x+56)

$\frac{2 x + 28}{3} \cdot \frac{12}{4 x + 56}$

Step 1

Factor $2$ out of $2 x + 28$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 28}{3} \cdot \frac{12}{4 x + 56}$

Factor $2$ out of $28$ .

$\frac{2 x + 2 \cdot 14}{3} \cdot \frac{12}{4 x + 56}$

Factor $2$ out of $2 x + 2 \cdot 14$ .

$\frac{2 (x + 14)}{3} \cdot \frac{12}{4 x + 56}$

Step 2

Factor $4$ out of $4 x + 56$ .

Factor $4$ out of $4 x$ .

$\frac{2 (x + 14)}{3} \cdot \frac{12}{4 (x) + 56}$

Factor $4$ out of $56$ .

$\frac{2 (x + 14)}{3} \cdot \frac{12}{4 x + 4 \cdot 14}$

Factor $4$ out of $4 x + 4 \cdot 14$ .

$\frac{2 (x + 14)}{3} \cdot \frac{12}{4 (x + 14)}$

Step 3

Cancel the common factor of $2 (x + 14)$ .

Factor $2 (x + 14)$ out of $4 (x + 14)$ .

$\frac{2 (x + 14)}{3} \cdot \frac{12}{2 (x + 14) (2)}$

Cancel the common factor.

$\frac{2 (x + 14)}{3} \cdot \frac{12}{2 (x + 14) \cdot 2}$

Rewrite the expression.

$\frac{1}{3} \cdot \frac{12}{2}$

Step 4

Cancel the common factor of $3$ .

Factor $3$ out of $12$ .

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

Cancel the common factor.

$\frac{1}{3} \cdot \frac{3 \cdot 4}{2}$

Rewrite the expression.

$\frac{4}{2}$

Step 5

Divide $4$ by $2$ .

$2$