Simplify (4x+12y)/(6x)

$\frac{4 x + 12 y}{6 x}$

Cancel the common factor of $4 x + 12 y$ and $6$ .

Factor $2$ out of $4 x$ .

$\frac{2 (2 x) + 12 y}{6 x}$

Factor $2$ out of $12 y$ .

$\frac{2 (2 x) + 2 (6 y)}{6 x}$

Factor $2$ out of $2 (2 x) + 2 (6 y)$ .

$\frac{2 (2 x + 6 y)}{6 x}$

Cancel the common factors.

Factor $2$ out of $6 x$ .

$\frac{2 (2 x + 6 y)}{2 (3 x)}$

Cancel the common factor.

$\frac{2 (2 x + 6 y)}{2 (3 x)}$

Rewrite the expression.

$\frac{2 x + 6 y}{3 x}$

Factor $2$ out of $2 x + 6 y$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 6 y}{3 x}$

Factor $2$ out of $6 y$ .

$\frac{2 (x) + 2 (3 y)}{3 x}$

Factor $2$ out of $2 (x) + 2 (3 y)$ .

$\frac{2 (x + 3 y)}{3 x}$