Simplify (12x^3y^2z^4)/(18xy^2z^3)

$\frac{12 x^{3} y^{2} z^{4}}{18 x y^{2} z^{3}}$

Step 1

Cancel the common factor of $12$ and $18$ .

Factor $6$ out of $12 x^{3} y^{2} z^{4}$ .

$\frac{6 (2 x^{3} y^{2} z^{4})}{18 x y^{2} z^{3}}$

Cancel the common factors.

Factor $6$ out of $18 x y^{2} z^{3}$ .

$\frac{6 (2 x^{3} y^{2} z^{4})}{6 (3 x y^{2} z^{3})}$

Cancel the common factor.

$\frac{6 (2 x^{3} y^{2} z^{4})}{6 (3 x y^{2} z^{3})}$

Rewrite the expression.

$\frac{2 x^{3} y^{2} z^{4}}{3 x y^{2} z^{3}}$

Step 2

Cancel the common factor of $x^{3}$ and $x$ .

Factor $x$ out of $2 x^{3} y^{2} z^{4}$ .

$\frac{x (2 x^{2} y^{2} z^{4})}{3 x y^{2} z^{3}}$

Cancel the common factors.

Factor $x$ out of $3 x y^{2} z^{3}$ .

$\frac{x (2 x^{2} y^{2} z^{4})}{x (3 y^{2} z^{3})}$

Cancel the common factor.

$\frac{x (2 x^{2} y^{2} z^{4})}{x (3 y^{2} z^{3})}$

Rewrite the expression.

$\frac{2 x^{2} y^{2} z^{4}}{3 y^{2} z^{3}}$

Step 3

Cancel the common factor of $y^{2}$ .

Cancel the common factor.

$\frac{2 x^{2} y^{2} z^{4}}{3 y^{2} z^{3}}$

Rewrite the expression.

$\frac{2 x^{2} z^{4}}{3 z^{3}}$

Step 4

Cancel the common factor of $z^{4}$ and $z^{3}$ .

Factor $z^{3}$ out of $2 x^{2} z^{4}$ .

$\frac{z^{3} (2 x^{2} z)}{3 z^{3}}$

Cancel the common factors.

Factor $z^{3}$ out of $3 z^{3}$ .

$\frac{z^{3} (2 x^{2} z)}{z^{3} \cdot 3}$

Cancel the common factor.

$\frac{z^{3} (2 x^{2} z)}{z^{3} \cdot 3}$

Rewrite the expression.

$\frac{2 x^{2} z}{3}$