Simplify (45a^2b)/(30ab)

$\frac{45 a^{2} b}{30 a b}$

Step 1

Cancel the common factor of $45$ and $30$ .

Factor $15$ out of $45 a^{2} b$ .

$\frac{15 (3 a^{2} b)}{30 a b}$

Cancel the common factors.

Factor $15$ out of $30 a b$ .

$\frac{15 (3 a^{2} b)}{15 (2 a b)}$

Cancel the common factor.

$\frac{15 (3 a^{2} b)}{15 (2 a b)}$

Rewrite the expression.

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

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

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

Step 2

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

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

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

Cancel the common factors.

Factor $a$ out of $2 a b$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

Cancel the common factor of $b$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{3 a}{2}$

$\frac{3 a}{2}$

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