Simplify (2a^2b^3c^4)/(4a^4bc^4)

$\frac{2 a^{2} b^{3} c^{4}}{4 a^{4} b c^{4}}$

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2 a^{2} b^{3} c^{4}$ .

$\frac{2 (a^{2} b^{3} c^{4})}{4 a^{4} b c^{4}}$

Cancel the common factors.

Factor $2$ out of $4 a^{4} b c^{4}$ .

$\frac{2 (a^{2} b^{3} c^{4})}{2 (2 a^{4} b c^{4})}$

Cancel the common factor.

$\frac{2 (a^{2} b^{3} c^{4})}{2 (2 a^{4} b c^{4})}$

Rewrite the expression.

$\frac{a^{2} b^{3} c^{4}}{2 a^{4} b c^{4}}$

Cancel the common factor of $a^{2}$ and $a^{4}$ .

Factor $a^{2}$ out of $a^{2} b^{3} c^{4}$ .

$\frac{a^{2} (b^{3} c^{4})}{2 a^{4} b c^{4}}$

Cancel the common factors.

Factor $a^{2}$ out of $2 a^{4} b c^{4}$ .

$\frac{a^{2} (b^{3} c^{4})}{a^{2} (2 a^{2} b c^{4})}$

Cancel the common factor.

$\frac{a^{2} (b^{3} c^{4})}{a^{2} (2 a^{2} b c^{4})}$

Rewrite the expression.

$\frac{b^{3} c^{4}}{2 a^{2} b c^{4}}$

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

Factor $b$ out of $b^{3} c^{4}$ .

$\frac{b (b^{2} c^{4})}{2 a^{2} b c^{4}}$

Cancel the common factors.

Factor $b$ out of $2 a^{2} b c^{4}$ .

$\frac{b (b^{2} c^{4})}{b (2 a^{2} c^{4})}$

Cancel the common factor.

$\frac{b (b^{2} c^{4})}{b (2 a^{2} c^{4})}$

Rewrite the expression.

$\frac{b^{2} c^{4}}{2 a^{2} c^{4}}$

Cancel the common factor of $c^{4}$ .

Cancel the common factor.

$\frac{b^{2} c^{4}}{2 a^{2} c^{4}}$

Rewrite the expression.

$\frac{b^{2}}{2 a^{2}}$