Divide (3x-6)/(5x-10)

$\frac{3 x - 6}{5 x - 10}$

Step 1

Factor $3$ out of $3 x - 6$ .

Factor $3$ out of $3 x$ .

$\frac{3 (x) - 6}{5 x - 10}$

Factor $3$ out of $- 6$ .

$\frac{3 x + 3 \cdot - 2}{5 x - 10}$

Factor $3$ out of $3 x + 3 \cdot - 2$ .

$\frac{3 (x - 2)}{5 x - 10}$

$\frac{3 (x - 2)}{5 x - 10}$

Step 2

Factor $5$ out of $5 x - 10$ .

Factor $5$ out of $5 x$ .

$\frac{3 (x - 2)}{5 (x) - 10}$

Factor $5$ out of $- 10$ .

$\frac{3 (x - 2)}{5 x + 5 \cdot - 2}$

Factor $5$ out of $5 x + 5 \cdot - 2$ .

$\frac{3 (x - 2)}{5 (x - 2)}$

$\frac{3 (x - 2)}{5 (x - 2)}$

Step 3

Cancel the common factor of $x - 2$ .

Cancel the common factor.

$\frac{3 (x - 2)}{5 (x - 2)}$

Rewrite the expression.

$\frac{3}{5}$

$\frac{3}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{5}$

Decimal Form:

$0.6$

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