Simplify (3ab)/(2a^2x+2a^3)

$\frac{3 a b}{2 a^{2} x + 2 a^{3}}$

Factor $2 a^{2}$ out of $2 a^{2} x + 2 a^{3}$ .

Factor $2 a^{2}$ out of $2 a^{2} x$ .

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

Factor $2 a^{2}$ out of $2 a^{3}$ .

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

Factor $2 a^{2}$ out of $2 a^{2} (x) + 2 a^{2} (a)$ .

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

Cancel the common factor of $a$ and $a^{2}$ .

Factor $a$ out of $3 a b$ .

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

Cancel the common factors.

Factor $a$ out of $2 a^{2} (x + a)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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