Simplify (96x^2yz^4)/(144y^2z^5)

$\frac{96 x^{2} y z^{4}}{144 y^{2} z^{5}}$

Step 1

Cancel the common factor of $96$ and $144$ .

Factor $48$ out of $96 x^{2} y z^{4}$ .

$\frac{48 (2 x^{2} y z^{4})}{144 y^{2} z^{5}}$

Cancel the common factors.

Factor $48$ out of $144 y^{2} z^{5}$ .

$\frac{48 (2 x^{2} y z^{4})}{48 (3 y^{2} z^{5})}$

Cancel the common factor.

$\frac{48 (2 x^{2} y z^{4})}{48 (3 y^{2} z^{5})}$

Rewrite the expression.

$\frac{2 x^{2} y z^{4}}{3 y^{2} z^{5}}$

$\frac{2 x^{2} y z^{4}}{3 y^{2} z^{5}}$

$\frac{2 x^{2} y z^{4}}{3 y^{2} z^{5}}$

Step 2

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

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

$\frac{y (2 x^{2} z^{4})}{3 y^{2} z^{5}}$

Cancel the common factors.

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

$\frac{y (2 x^{2} z^{4})}{y (3 y z^{5})}$

Cancel the common factor.

$\frac{y (2 x^{2} z^{4})}{y (3 y z^{5})}$

Rewrite the expression.

$\frac{2 x^{2} z^{4}}{3 y z^{5}}$

$\frac{2 x^{2} z^{4}}{3 y z^{5}}$

$\frac{2 x^{2} z^{4}}{3 y z^{5}}$

Step 3

Cancel the common factor of $z^{4}$ and $z^{5}$ .

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

$\frac{z^{4} (2 x^{2})}{3 y z^{5}}$

Cancel the common factors.

Factor $z^{4}$ out of $3 y z^{5}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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