Simplify (2ax+4bx)/(3ay+6by)

$\frac{2 a x + 4 b x}{3 a y + 6 b y}$

Factor $2 x$ out of $2 a x + 4 b x$ .

Factor $2 x$ out of $2 a x$ .

$\frac{2 x (a) + 4 b x}{3 a y + 6 b y}$

Factor $2 x$ out of $4 b x$ .

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

Factor $2 x$ out of $2 x (a) + 2 x (2 b)$ .

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

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

Factor $3 y$ out of $3 a y + 6 b y$ .

Factor $3 y$ out of $3 a y$ .

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

Factor $3 y$ out of $6 b y$ .

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

Factor $3 y$ out of $3 y (a) + 3 y (2 b)$ .

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

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

Cancel the common factor of $a + 2 b$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

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