Simplify (12x^3y^4z^5)/(32xy^2z)

$\frac{12 x^{3} y^{4} z^{5}}{32 x y^{2} z}$

Step 1

Cancel the common factor of $12$ and $32$ .

Factor $4$ out of $12 x^{3} y^{4} z^{5}$ .

$\frac{4 (3 x^{3} y^{4} z^{5})}{32 x y^{2} z}$

Cancel the common factors.

Factor $4$ out of $32 x y^{2} z$ .

$\frac{4 (3 x^{3} y^{4} z^{5})}{4 (8 x y^{2} z)}$

Cancel the common factor.

$\frac{4 (3 x^{3} y^{4} z^{5})}{4 (8 x y^{2} z)}$

Rewrite the expression.

$\frac{3 x^{3} y^{4} z^{5}}{8 x y^{2} z}$

$\frac{3 x^{3} y^{4} z^{5}}{8 x y^{2} z}$

$\frac{3 x^{3} y^{4} z^{5}}{8 x y^{2} z}$

Step 2

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

Factor $x$ out of $3 x^{3} y^{4} z^{5}$ .

$\frac{x (3 x^{2} y^{4} z^{5})}{8 x y^{2} z}$

Cancel the common factors.

Factor $x$ out of $8 x y^{2} z$ .

$\frac{x (3 x^{2} y^{4} z^{5})}{x (8 y^{2} z)}$

Cancel the common factor.

$\frac{x (3 x^{2} y^{4} z^{5})}{x (8 y^{2} z)}$

Rewrite the expression.

$\frac{3 x^{2} y^{4} z^{5}}{8 y^{2} z}$

$\frac{3 x^{2} y^{4} z^{5}}{8 y^{2} z}$

$\frac{3 x^{2} y^{4} z^{5}}{8 y^{2} z}$

Step 3

Cancel the common factor of $y^{4}$ and $y^{2}$ .

Factor $y^{2}$ out of $3 x^{2} y^{4} z^{5}$ .

$\frac{y^{2} (3 x^{2} y^{2} z^{5})}{8 y^{2} z}$

Cancel the common factors.

Factor $y^{2}$ out of $8 y^{2} z$ .

$\frac{y^{2} (3 x^{2} y^{2} z^{5})}{y^{2} (8 z)}$

Cancel the common factor.

$\frac{y^{2} (3 x^{2} y^{2} z^{5})}{y^{2} (8 z)}$

Rewrite the expression.

$\frac{3 x^{2} y^{2} z^{5}}{8 z}$

$\frac{3 x^{2} y^{2} z^{5}}{8 z}$

$\frac{3 x^{2} y^{2} z^{5}}{8 z}$

Step 4

Cancel the common factor of $z^{5}$ and $z$ .

Factor $z$ out of $3 x^{2} y^{2} z^{5}$ .

$\frac{z (3 x^{2} y^{2} z^{4})}{8 z}$

Cancel the common factors.

Factor $z$ out of $8 z$ .

$\frac{z (3 x^{2} y^{2} z^{4})}{z \cdot 8}$

Cancel the common factor.

$\frac{z (3 x^{2} y^{2} z^{4})}{z \cdot 8}$

Rewrite the expression.

$\frac{3 x^{2} y^{2} z^{4}}{8}$

$\frac{3 x^{2} y^{2} z^{4}}{8}$

$\frac{3 x^{2} y^{2} z^{4}}{8}$

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