Simplify (16x+8)/(4x+2)

$\frac{16 x + 8}{4 x + 2}$

Step 1

Cancel the common factor of $16 x + 8$ and $4 x + 2$ .

Factor $2$ out of $16 x$ .

$\frac{2 (8 x) + 8}{4 x + 2}$

Factor $2$ out of $8$ .

$\frac{2 (8 x) + 2 \cdot 4}{4 x + 2}$

Factor $2$ out of $2 (8 x) + 2 (4)$ .

$\frac{2 (8 x + 4)}{4 x + 2}$

Cancel the common factors.

Factor $2$ out of $4 x$ .

$\frac{2 (8 x + 4)}{2 (2 x) + 2}$

Factor $2$ out of $2$ .

$\frac{2 (8 x + 4)}{2 (2 x) + 2 (1)}$

Factor $2$ out of $2 (2 x) + 2 (1)$ .

$\frac{2 (8 x + 4)}{2 (2 x + 1)}$

Cancel the common factor.

$\frac{2 (8 x + 4)}{2 (2 x + 1)}$

Rewrite the expression.

$\frac{8 x + 4}{2 x + 1}$

$\frac{8 x + 4}{2 x + 1}$

$\frac{8 x + 4}{2 x + 1}$

Step 2

Factor $4$ out of $8 x + 4$ .

Factor $4$ out of $8 x$ .

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

Factor $4$ out of $4$ .

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

Factor $4$ out of $4 (2 x) + 4 (1)$ .

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

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

Step 3

Cancel the common factor of $2 x + 1$ .

Cancel the common factor.

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

Divide $4$ by $1$ .

$4$

$4$

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