Simplify (3a^3b^4c)/(6a^5b)

$\frac{3 a^{3} b^{4} c}{6 a^{5} b}$

Step 1

Cancel the common factor of $3$ and $6$ .

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

$\frac{3 (a^{3} b^{4} c)}{6 a^{5} b}$

Cancel the common factors.

Factor $3$ out of $6 a^{5} b$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

Cancel the common factor of $a^{3}$ and $a^{5}$ .

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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