Simplify (15a^3b^4c^2)/(3a^2bc^4)

$\frac{15 a^{3} b^{4} c^{2}}{3 a^{2} b c^{4}}$

Step 1

Cancel the common factor of $15$ and $3$ .

Factor $3$ out of $15 a^{3} b^{4} c^{2}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

Cancel the common factor of $a^{3}$ and $a^{2}$ .

Factor $a^{2}$ out of $5 a^{3} b^{4} c^{2}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

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

Factor $b$ out of $5 a b^{4} c^{2}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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