Pre-Algebra Examples

$\frac{- 18 a^{6} b}{9 a b^{7}}$

Step 1

Cancel the common factor of $- 18$ and $9$ .

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Step 1.1

Factor $9$ out of $- 18 a^{6} b$ .

$\frac{9 (- 2 a^{6} b)}{9 a b^{7}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $9$ out of $9 a b^{7}$ .

$\frac{9 (- 2 a^{6} b)}{9 (a b^{7})}$

Step 1.2.2

Cancel the common factor.

$\frac{9 (- 2 a^{6} b)}{9 (a b^{7})}$

Step 1.2.3

Rewrite the expression.

$\frac{- 2 a^{6} b}{a b^{7}}$

$\frac{- 2 a^{6} b}{a b^{7}}$

$\frac{- 2 a^{6} b}{a b^{7}}$

Step 2

Cancel the common factor of $a^{6}$ and $a$ .

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Step 2.1

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

$\frac{a (- 2 a^{5} b)}{a b^{7}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $a$ out of $a b^{7}$ .

$\frac{a (- 2 a^{5} b)}{a (b^{7})}$

Step 2.2.2

Cancel the common factor.

$\frac{a (- 2 a^{5} b)}{a b^{7}}$

Step 2.2.3

Rewrite the expression.

$\frac{- 2 a^{5} b}{b^{7}}$

$\frac{- 2 a^{5} b}{b^{7}}$

$\frac{- 2 a^{5} b}{b^{7}}$

Step 3

Cancel the common factor of $b$ and $b^{7}$ .

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Step 3.1

Factor $b$ out of $- 2 a^{5} b$ .

$\frac{b (- 2 a^{5})}{b^{7}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $b$ out of $b^{7}$ .

$\frac{b (- 2 a^{5})}{b \cdot b^{6}}$

Step 3.2.2

Cancel the common factor.

$\frac{b (- 2 a^{5})}{b \cdot b^{6}}$

Step 3.2.3

Rewrite the expression.

$\frac{- 2 a^{5}}{b^{6}}$

$\frac{- 2 a^{5}}{b^{6}}$

$\frac{- 2 a^{5}}{b^{6}}$

Step 4

Move the negative in front of the fraction.

$- \frac{2 a^{5}}{b^{6}}$

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