Simplify (a^4b^2c)/(a^3b^5c^2)

$\frac{a^{4} b^{2} c}{a^{3} b^{5} c^{2}}$

Step 1

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

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

$\frac{a^{3} (a b^{2} c)}{a^{3} b^{5} c^{2}}$

Cancel the common factors.

Factor $a^{3}$ out of $a^{3} b^{5} c^{2}$ .

$\frac{a^{3} (a b^{2} c)}{a^{3} (b^{5} c^{2})}$

Cancel the common factor.

$\frac{a^{3} (a b^{2} c)}{a^{3} (b^{5} c^{2})}$

Rewrite the expression.

$\frac{a b^{2} c}{b^{5} c^{2}}$

$\frac{a b^{2} c}{b^{5} c^{2}}$

$\frac{a b^{2} c}{b^{5} c^{2}}$

Step 2

Cancel the common factor of $b^{2}$ and $b^{5}$ .

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

$\frac{b^{2} (a c)}{b^{5} c^{2}}$

Cancel the common factors.

Factor $b^{2}$ out of $b^{5} c^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

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

Factor $c$ out of $a c$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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