Write the Fraction in Simplest Form (36a^3bc^2)/(24ab^4c^2)

$\frac{36 a^{3} b c^{2}}{24 a b^{4} c^{2}}$

Step 1

Cancel the common factor of $36$ and $24$ .

Factor $12$ out of $36 a^{3} b c^{2}$ .

$\frac{12 (3 a^{3} b c^{2})}{24 a b^{4} c^{2}}$

Cancel the common factors.

Factor $12$ out of $24 a b^{4} c^{2}$ .

$\frac{12 (3 a^{3} b c^{2})}{12 (2 a b^{4} c^{2})}$

Cancel the common factor.

$\frac{12 (3 a^{3} b c^{2})}{12 (2 a b^{4} c^{2})}$

Rewrite the expression.

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

Step 2

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 4

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

Cancel the common factor.

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

Rewrite the expression.

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