Simplify (7a^5b^6c)/(14a^5b^9)

$\frac{7 a^{5} b^{6} c}{14 a^{5} b^{9}}$

Step 1

Cancel the common factor of $7$ and $14$ .

Factor $7$ out of $7 a^{5} b^{6} c$ .

$\frac{7 (a^{5} b^{6} c)}{14 a^{5} b^{9}}$

Cancel the common factors.

Factor $7$ out of $14 a^{5} b^{9}$ .

$\frac{7 (a^{5} b^{6} c)}{7 (2 a^{5} b^{9})}$

Cancel the common factor.

$\frac{7 (a^{5} b^{6} c)}{7 (2 a^{5} b^{9})}$

Rewrite the expression.

$\frac{a^{5} b^{6} c}{2 a^{5} b^{9}}$

$\frac{a^{5} b^{6} c}{2 a^{5} b^{9}}$

$\frac{a^{5} b^{6} c}{2 a^{5} b^{9}}$

Step 2

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

Cancel the common factor.

$\frac{a^{5} b^{6} c}{2 a^{5} b^{9}}$

Rewrite the expression.

$\frac{b^{6} c}{2 b^{9}}$

$\frac{b^{6} c}{2 b^{9}}$

Step 3

Cancel the common factor of $b^{6}$ and $b^{9}$ .

Factor $b^{6}$ out of $b^{6} c$ .

$\frac{b^{6} (c)}{2 b^{9}}$

Cancel the common factors.

Factor $b^{6}$ out of $2 b^{9}$ .

$\frac{b^{6} (c)}{b^{6} (2 b^{3})}$

Cancel the common factor.

$\frac{b^{6} c}{b^{6} (2 b^{3})}$

Rewrite the expression.

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

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

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

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