Basic Math Examples

$\frac{\frac{8 p - 16}{p^{5}}}{\frac{4 p - 16}{p}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{8 p - 16}{p^{5}} \cdot \frac{p}{4 p - 16}$

Step 2

Cancel the common factor of $p$ .

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Step 2.1

Factor $p$ out of $p^{5}$ .

$\frac{8 p - 16}{p \cdot p^{4}} \cdot \frac{p}{4 p - 16}$

Step 2.2

Cancel the common factor.

$\frac{8 p - 16}{p \cdot p^{4}} \cdot \frac{p}{4 p - 16}$

Step 2.3

Rewrite the expression.

$\frac{8 p - 16}{p^{4}} \cdot \frac{1}{4 p - 16}$

Step 3

Multiply $\frac{8 p - 16}{p^{4}}$ by $\frac{1}{4 p - 16}$ .

$\frac{8 p - 16}{p^{4} (4 p - 16)}$

Step 4

Cancel the common factor of $8 p - 16$ and $4 p - 16$ .

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Step 4.1

Factor $4$ out of $8 p$ .

$\frac{4 (2 p) - 16}{p^{4} (4 p - 16)}$

Step 4.2

Factor $4$ out of $- 16$ .

$\frac{4 (2 p) + 4 \cdot - 4}{p^{4} (4 p - 16)}$

Step 4.3

Factor $4$ out of $4 (2 p) + 4 (- 4)$ .

$\frac{4 (2 p - 4)}{p^{4} (4 p - 16)}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor $4$ out of $p^{4} (4 p - 16)$ .

$\frac{4 (2 p - 4)}{4 (p^{4} (p - 4))}$

Step 4.4.2

Cancel the common factor.

$\frac{4 (2 p - 4)}{4 (p^{4} (p - 4))}$

Step 4.4.3

Rewrite the expression.

$\frac{2 p - 4}{p^{4} (p - 4)}$

Step 5

Factor $2$ out of $2 p - 4$ .

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Step 5.1

Factor $2$ out of $2 p$ .

$\frac{2 (p) - 4}{p^{4} (p - 4)}$

Step 5.2

Factor $2$ out of $- 4$ .

$\frac{2 p + 2 \cdot - 2}{p^{4} (p - 4)}$

Step 5.3

Factor $2$ out of $2 p + 2 \cdot - 2$ .

$\frac{2 (p - 2)}{p^{4} (p - 4)}$