Simplify (35x^3yz^2)/(21x^2y^3z)

$\frac{35 x^{3} y z^{2}}{21 x^{2} y^{3} z}$

Step 1

Cancel the common factor of $35$ and $21$ .

Factor $7$ out of $35 x^{3} y z^{2}$ .

$\frac{7 (5 x^{3} y z^{2})}{21 x^{2} y^{3} z}$

Cancel the common factors.

Factor $7$ out of $21 x^{2} y^{3} z$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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