Simplify (6x-18)/(4x)*x/(2x-6)

$\frac{6 x - 18}{4 x} \cdot \frac{x}{2 x - 6}$

Step 1

Factor $6$ out of $6 x - 18$ .

Factor $6$ out of $6 x$ .

$\frac{6 (x) - 18}{4 x} \cdot \frac{x}{2 x - 6}$

Factor $6$ out of $- 18$ .

$\frac{6 x + 6 \cdot - 3}{4 x} \cdot \frac{x}{2 x - 6}$

Factor $6$ out of $6 x + 6 \cdot - 3$ .

$\frac{6 (x - 3)}{4 x} \cdot \frac{x}{2 x - 6}$

Step 2

Factor $2$ out of $2 x - 6$ .

Factor $2$ out of $2 x$ .

$\frac{6 (x - 3)}{4 x} \cdot \frac{x}{2 (x) - 6}$

Factor $2$ out of $- 6$ .

$\frac{6 (x - 3)}{4 x} \cdot \frac{x}{2 x + 2 \cdot - 3}$

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

$\frac{6 (x - 3)}{4 x} \cdot \frac{x}{2 (x - 3)}$

Step 3

Cancel the common factor of $2 (x - 3)$ .

Factor $2 (x - 3)$ out of $6 (x - 3)$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3}{4 x} \cdot x$

Step 4

Cancel the common factor of $x$ .

Factor $x$ out of $4 x$ .

$\frac{3}{x \cdot 4} \cdot x$

Cancel the common factor.

$\frac{3}{x \cdot 4} \cdot x$

Rewrite the expression.

$\frac{3}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$