Simplify (2a^2b)/(b^2c)*b/a

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

Step 1

Combine.

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

Step 2

Multiply $b$ by $b$ by adding the exponents.

Move $b$ .

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

Multiply $b$ by $b$ .

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

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

Step 3

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{2 a}{c}$

$\frac{2 a}{c}$

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