Pre-Algebra Examples

$\frac{6 a b}{12 a^{2} - 24 a}$

Step 1

Factor $12 a$ out of $12 a^{2} - 24 a$ .

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Step 1.1

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

$\frac{6 a b}{12 a (a) - 24 a}$

Step 1.2

Factor $12 a$ out of $- 24 a$ .

$\frac{6 a b}{12 a (a) + 12 a (- 2)}$

Step 1.3

Factor $12 a$ out of $12 a (a) + 12 a (- 2)$ .

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

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

Step 2

Cancel the common factor of $6$ and $12$ .

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Step 2.1

Factor $6$ out of $6 a b$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $6$ out of $12 a (a - 2)$ .

$\frac{6 (a b)}{6 (2 a (a - 2))}$

Step 2.2.2

Cancel the common factor.

$\frac{6 (a b)}{6 (2 a (a - 2))}$

Step 2.2.3

Rewrite the expression.

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

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

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

Step 3

Cancel the common factor of $a$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$