Simplify 4/(2ab^2)*(ab)/4

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

Combine.

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

Cancel the common factor of $4$ and $2$ .

Factor $2$ out of $4 (a b)$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Cancel the common factor of $a$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{b}{b^{2} \cdot 2}$

$\frac{b}{b^{2} \cdot 2}$

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

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

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

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

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

Cancel the common factors.

Factor $b$ out of $b^{2} \cdot 2$ .

$\frac{b \cdot 1}{b (b \cdot 2)}$

Cancel the common factor.

$\frac{b \cdot 1}{b (b \cdot 2)}$

Rewrite the expression.

$\frac{1}{b \cdot 2}$

$\frac{1}{b \cdot 2}$

$\frac{1}{b \cdot 2}$

Move $2$ to the left of $b$ .

$\frac{1}{2 b}$

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