Simplify (18a^2b^3)÷12ab^2

$18 a^{2} b^{3} \div 12 a b^{2}$

Rewrite the division as a fraction.

$\frac{18 a^{2} b^{3}}{12 a b^{2}}$

Cancel the common factor of $18$ and $12$ .

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Factor $6$ out of $18 a^{2} b^{3}$ .

$\frac{6 (3 a^{2} b^{3})}{12 a b^{2}}$

Cancel the common factors.

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Factor $6$ out of $12 a b^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $b^{3}$ and $b^{2}$ .

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Simplify (18a^2b^3)÷12ab^2

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