Simplify (12x^2y^3z)/(21y^4z^3)

$\frac{12 x^{2} y^{3} z}{21 y^{4} z^{3}}$

Step 1

Cancel the common factor of $12$ and $21$ .

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

$\frac{3 (4 x^{2} y^{3} z)}{21 y^{4} z^{3}}$

Cancel the common factors.

Factor $3$ out of $21 y^{4} z^{3}$ .

$\frac{3 (4 x^{2} y^{3} z)}{3 (7 y^{4} z^{3})}$

Cancel the common factor.

$\frac{3 (4 x^{2} y^{3} z)}{3 (7 y^{4} z^{3})}$

Rewrite the expression.

$\frac{4 x^{2} y^{3} z}{7 y^{4} z^{3}}$

$\frac{4 x^{2} y^{3} z}{7 y^{4} z^{3}}$

$\frac{4 x^{2} y^{3} z}{7 y^{4} z^{3}}$

Step 2

Cancel the common factor of $y^{3}$ and $y^{4}$ .

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

$\frac{y^{3} (4 x^{2} z)}{7 y^{4} z^{3}}$

Cancel the common factors.

Factor $y^{3}$ out of $7 y^{4} z^{3}$ .

$\frac{y^{3} (4 x^{2} z)}{y^{3} (7 y z^{3})}$

Cancel the common factor.

$\frac{y^{3} (4 x^{2} z)}{y^{3} (7 y z^{3})}$

Rewrite the expression.

$\frac{4 x^{2} z}{7 y z^{3}}$

$\frac{4 x^{2} z}{7 y z^{3}}$

$\frac{4 x^{2} z}{7 y z^{3}}$

Step 3

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

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

$\frac{z (4 x^{2})}{7 y z^{3}}$

Cancel the common factors.

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

$\frac{z (4 x^{2})}{z (7 y z^{2})}$

Cancel the common factor.

$\frac{z (4 x^{2})}{z (7 y z^{2})}$

Rewrite the expression.

$\frac{4 x^{2}}{7 y z^{2}}$

$\frac{4 x^{2}}{7 y z^{2}}$

$\frac{4 x^{2}}{7 y z^{2}}$

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