Simplify (12x^3y^2z)/(16xy^3z^2)

$\frac{12 x^{3} y^{2} z}{16 x y^{3} z^{2}}$

Step 1

Cancel the common factor of $12$ and $16$ .

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

$\frac{4 (3 x^{3} y^{2} z)}{16 x y^{3} z^{2}}$

Cancel the common factors.

Factor $4$ out of $16 x y^{3} z^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

Cancel the common factor of $y^{2}$ and $y^{3}$ .

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Related Questions