Simplify (27a^2bc^3)/(18a^2b^2c)

$\frac{27 a^{2} b c^{3}}{18 a^{2} b^{2} c}$

Step 1

Cancel the common factor of $27$ and $18$ .

Factor $9$ out of $27 a^{2} b c^{3}$ .

$\frac{9 (3 a^{2} b c^{3})}{18 a^{2} b^{2} c}$

Cancel the common factors.

Factor $9$ out of $18 a^{2} b^{2} c$ .

$\frac{9 (3 a^{2} b c^{3})}{9 (2 a^{2} b^{2} c)}$

Cancel the common factor.

$\frac{9 (3 a^{2} b c^{3})}{9 (2 a^{2} b^{2} c)}$

Rewrite the expression.

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

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

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

Step 2

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 3

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

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

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

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

Cancel the common factors.

Factor $c$ out of $2 b c$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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