Basic Math Examples

$\frac{2 π - 2}{π} \cdot \frac{7 π}{4 π - 4}$

Step 1

Cancel the common factor of $π$ .

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Step 1.1

Factor $π$ out of $7 π$ .

$\frac{2 π - 2}{π} \cdot \frac{π \cdot 7}{4 π - 4}$

Step 1.2

Cancel the common factor.

$\frac{2 π - 2}{π} \cdot \frac{π \cdot 7}{4 π - 4}$

Step 1.3

Rewrite the expression.

$(2 π - 2) \cdot \frac{7}{4 π - 4}$

Step 2

Apply the distributive property.

$2 π \frac{7}{4 π - 4} - 2 \frac{7}{4 π - 4}$

Step 3

Multiply $2 π \frac{7}{4 π - 4}$ .

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Step 3.1

Combine $\frac{7}{4 π - 4}$ and $2$ .

$\frac{7 \cdot 2}{4 π - 4} π - 2 \frac{7}{4 π - 4}$

Step 3.2

Multiply $7$ by $2$ .

$\frac{14}{4 π - 4} π - 2 \frac{7}{4 π - 4}$

Step 3.3

Combine $\frac{14}{4 π - 4}$ and $π$ .

$\frac{14 π}{4 π - 4} - 2 \frac{7}{4 π - 4}$

Step 4

Multiply $- 2 \frac{7}{4 π - 4}$ .

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Step 4.1

Combine $- 2$ and $\frac{7}{4 π - 4}$ .

$\frac{14 π}{4 π - 4} + \frac{- 2 \cdot 7}{4 π - 4}$

Step 4.2

Multiply $- 2$ by $7$ .

$\frac{14 π}{4 π - 4} + \frac{- 14}{4 π - 4}$

Step 5

Combine the numerators over the common denominator.

$\frac{14 π - 14}{4 π - 4}$

Step 6

Cancel the common factor of $14 π - 14$ and $4 π - 4$ .

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Step 6.1

Factor $2$ out of $14 π$ .

$\frac{2 (7 π) - 14}{4 π - 4}$

Step 6.2

Factor $2$ out of $- 14$ .

$\frac{2 (7 π) + 2 (- 7)}{4 π - 4}$

Step 6.3

Factor $2$ out of $2 (7 π) + 2 (- 7)$ .

$\frac{2 (7 π - 7)}{4 π - 4}$

Step 6.4

Cancel the common factors.

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Step 6.4.1

Factor $2$ out of $4 π$ .

$\frac{2 (7 π - 7)}{2 (2 π) - 4}$

Step 6.4.2

Factor $2$ out of $- 4$ .

$\frac{2 (7 π - 7)}{2 (2 π) + 2 (- 2)}$

Step 6.4.3

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

$\frac{2 (7 π - 7)}{2 (2 π - 2)}$

Step 6.4.4

Cancel the common factor.

$\frac{2 (7 π - 7)}{2 (2 π - 2)}$

Step 6.4.5

Rewrite the expression.

$\frac{7 π - 7}{2 π - 2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{7 π - 7}{2 π - 2}$

Decimal Form:

$3.5$