Basic Math Examples

$\frac{π}{π - 1} \div \frac{4 π}{8 π - 8}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{π}{π - 1} \cdot \frac{8 π - 8}{4 π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Factor $π$ out of $4 π$ .

$\frac{π}{π - 1} \cdot \frac{8 π - 8}{π \cdot 4}$

Step 2.2

Cancel the common factor.

$\frac{π}{π - 1} \cdot \frac{8 π - 8}{π \cdot 4}$

Step 2.3

Rewrite the expression.

$\frac{1}{π - 1} \cdot \frac{8 π - 8}{4}$

$\frac{1}{π - 1} \cdot \frac{8 π - 8}{4}$

Step 3

Multiply $\frac{1}{π - 1}$ by $\frac{8 π - 8}{4}$ .

$\frac{8 π - 8}{(π - 1) \cdot 4}$

Step 4

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

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Step 4.1

Factor $4$ out of $8 π$ .

$\frac{4 (2 π) - 8}{(π - 1) \cdot 4}$

Step 4.2

Factor $4$ out of $- 8$ .

$\frac{4 (2 π) + 4 \cdot - 2}{(π - 1) \cdot 4}$

Step 4.3

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

$\frac{4 (2 π - 2)}{(π - 1) \cdot 4}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor $4$ out of $(π - 1) \cdot 4$ .

$\frac{4 (2 π - 2)}{4 \cdot (π - 1)}$

Step 4.4.2

Cancel the common factor.

$\frac{4 (2 π - 2)}{4 \cdot (π - 1)}$

Step 4.4.3

Rewrite the expression.

$\frac{2 π - 2}{π - 1}$

$\frac{2 π - 2}{π - 1}$

$\frac{2 π - 2}{π - 1}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2 π - 2}{π - 1}$

Decimal Form:

$2$

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