Algebra Examples

$\frac{- 4 p q^{5} r^{3}}{8 p^{2} q^{2} r^{10}}$

Step 1

Cancel the common factor of $- 4$ and $8$ .

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Step 1.1

Factor $4$ out of $- 4 p q^{5} r^{3}$ .

$\frac{4 (- p q^{5} r^{3})}{8 p^{2} q^{2} r^{10}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $8 p^{2} q^{2} r^{10}$ .

$\frac{4 (- p q^{5} r^{3})}{4 (2 p^{2} q^{2} r^{10})}$

Step 1.2.2

Cancel the common factor.

$\frac{4 (- p q^{5} r^{3})}{4 (2 p^{2} q^{2} r^{10})}$

Step 1.2.3

Rewrite the expression.

$\frac{- p q^{5} r^{3}}{2 p^{2} q^{2} r^{10}}$

Step 2

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

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Step 2.1

Factor $p$ out of $- p q^{5} r^{3}$ .

$\frac{p (- 1 q^{5} r^{3})}{2 p^{2} q^{2} r^{10}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $p$ out of $2 p^{2} q^{2} r^{10}$ .

$\frac{p (- 1 q^{5} r^{3})}{p (2 p q^{2} r^{10})}$

Step 2.2.2

Cancel the common factor.

$\frac{p (- 1 q^{5} r^{3})}{p (2 p q^{2} r^{10})}$

Step 2.2.3

Rewrite the expression.

$\frac{- 1 q^{5} r^{3}}{2 p q^{2} r^{10}}$

Step 3

Cancel the common factor of $q^{5}$ and $q^{2}$ .

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Step 3.1

Factor $q^{2}$ out of $- 1 q^{5} r^{3}$ .

$\frac{q^{2} (- 1 q^{3} r^{3})}{2 p q^{2} r^{10}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $q^{2}$ out of $2 p q^{2} r^{10}$ .

$\frac{q^{2} (- 1 q^{3} r^{3})}{q^{2} (2 p r^{10})}$

Step 3.2.2

Cancel the common factor.

$\frac{q^{2} (- 1 q^{3} r^{3})}{q^{2} (2 p r^{10})}$

Step 3.2.3

Rewrite the expression.

$\frac{- 1 q^{3} r^{3}}{2 p r^{10}}$

Step 4

Cancel the common factor of $r^{3}$ and $r^{10}$ .

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Step 4.1

Factor $r^{3}$ out of $- 1 q^{3} r^{3}$ .

$\frac{r^{3} (- 1 q^{3})}{2 p r^{10}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $r^{3}$ out of $2 p r^{10}$ .

$\frac{r^{3} (- 1 q^{3})}{r^{3} (2 p r^{7})}$

Step 4.2.2

Cancel the common factor.

$\frac{r^{3} (- 1 q^{3})}{r^{3} (2 p r^{7})}$

Step 4.2.3

Rewrite the expression.

$\frac{- 1 q^{3}}{2 p r^{7}}$

Step 5

Move the negative in front of the fraction.

$- \frac{q^{3}}{2 p r^{7}}$