Simplify (2x+2)/5*10/(8x+8)

$\frac{2 x + 2}{5} \cdot \frac{10}{8 x + 8}$

Step 1

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

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 2}{5} \cdot \frac{10}{8 x + 8}$

Factor $2$ out of $2$ .

$\frac{2 (x) + 2 (1)}{5} \cdot \frac{10}{8 x + 8}$

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

$\frac{2 (x + 1)}{5} \cdot \frac{10}{8 x + 8}$

Step 2

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

Factor $8$ out of $8 x$ .

$\frac{2 (x + 1)}{5} \cdot \frac{10}{8 (x) + 8}$

Factor $8$ out of $8$ .

$\frac{2 (x + 1)}{5} \cdot \frac{10}{8 (x) + 8 (1)}$

Factor $8$ out of $8 (x) + 8 (1)$ .

$\frac{2 (x + 1)}{5} \cdot \frac{10}{8 (x + 1)}$

Step 3

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

Factor $2 (x + 1)$ out of $8 (x + 1)$ .

$\frac{2 (x + 1)}{5} \cdot \frac{10}{2 (x + 1) (4)}$

Cancel the common factor.

$\frac{2 (x + 1)}{5} \cdot \frac{10}{2 (x + 1) \cdot 4}$

Rewrite the expression.

$\frac{1}{5} \cdot \frac{10}{4}$

Step 4

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$\frac{1}{5} \cdot \frac{5 (2)}{4}$

Cancel the common factor.

$\frac{1}{5} \cdot \frac{5 \cdot 2}{4}$

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 (2x+2)/5*10/(8x+8)

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