Simplify (2a)/(8a^2b)

$\frac{2 a}{8 a^{2} b}$

Step 1

Cancel the common factor of $2$ and $8$ .

Factor $2$ out of $2 a$ .

$\frac{2 (a)}{8 a^{2} b}$

Cancel the common factors.

Factor $2$ out of $8 a^{2} b$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

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

Raise $a$ to the power of $1$ .

$\frac{a^{1}}{4 a^{2} b}$

Factor $a$ out of $a^{1}$ .

$\frac{a \cdot 1}{4 a^{2} b}$

Cancel the common factors.

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

$\frac{a \cdot 1}{a (4 a b)}$

Cancel the common factor.

$\frac{a \cdot 1}{a (4 a b)}$

Rewrite the expression.

$\frac{1}{4 a b}$

$\frac{1}{4 a b}$

$\frac{1}{4 a b}$

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