Simplify (30x^5y^3z)/(6x^3y^2z)

$\frac{30 x^{5} y^{3} z}{6 x^{3} y^{2} z}$

Cancel the common factor of $30$ and $6$ .

Factor $6$ out of $30 x^{5} y^{3} z$ .

$\frac{6 (5 x^{5} y^{3} z)}{6 x^{3} y^{2} z}$

Cancel the common factors.

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

$\frac{6 (5 x^{5} y^{3} z)}{6 (x^{3} y^{2} z)}$

Cancel the common factor.

$\frac{6 (5 x^{5} y^{3} z)}{6 (x^{3} y^{2} z)}$

Rewrite the expression.

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

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

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

Cancel the common factor of $x^{5}$ and $x^{3}$ .

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Cancel the common factor of $z$ .

Cancel the common factor.

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

Divide $5 x^{2} y$ by $1$ .

$5 x^{2} y$

$5 x^{2} y$

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