Simplify (36x^5y^8z^10)/(15x^5y^7z^2)

$\frac{36 x^{5} y^{8} z^{10}}{15 x^{5} y^{7} z^{2}}$

Cancel the common factor of $36$ and $15$ .

Factor $3$ out of $36 x^{5} y^{8} z^{10}$ .

$\frac{3 (12 x^{5} y^{8} z^{10})}{15 x^{5} y^{7} z^{2}}$

Cancel the common factors.

Factor $3$ out of $15 x^{5} y^{7} z^{2}$ .

$\frac{3 (12 x^{5} y^{8} z^{10})}{3 (5 x^{5} y^{7} z^{2})}$

Cancel the common factor.

$\frac{3 (12 x^{5} y^{8} z^{10})}{3 (5 x^{5} y^{7} z^{2})}$

Rewrite the expression.

$\frac{12 x^{5} y^{8} z^{10}}{5 x^{5} y^{7} z^{2}}$

Cancel the common factor of $x^{5}$ .

Cancel the common factor.

$\frac{12 x^{5} y^{8} z^{10}}{5 x^{5} y^{7} z^{2}}$

Rewrite the expression.

$\frac{12 y^{8} z^{10}}{5 y^{7} z^{2}}$

Cancel the common factor of $y^{8}$ and $y^{7}$ .

Factor $y^{7}$ out of $12 y^{8} z^{10}$ .

$\frac{y^{7} (12 y z^{10})}{5 y^{7} z^{2}}$

Cancel the common factors.

Factor $y^{7}$ out of $5 y^{7} z^{2}$ .

$\frac{y^{7} (12 y z^{10})}{y^{7} (5 z^{2})}$

Cancel the common factor.

$\frac{y^{7} (12 y z^{10})}{y^{7} (5 z^{2})}$

Rewrite the expression.

$\frac{12 y z^{10}}{5 z^{2}}$

Cancel the common factor of $z^{10}$ and $z^{2}$ .

Factor $z^{2}$ out of $12 y z^{10}$ .

$\frac{z^{2} (12 y z^{8})}{5 z^{2}}$

Cancel the common factors.

Factor $z^{2}$ out of $5 z^{2}$ .

$\frac{z^{2} (12 y z^{8})}{z^{2} \cdot 5}$

Cancel the common factor.

$\frac{z^{2} (12 y z^{8})}{z^{2} \cdot 5}$

Rewrite the expression.

$\frac{12 y z^{8}}{5}$