Basic Math Examples

$\frac{6 p - 6}{p} \cdot \frac{2 p^{2}}{7 p - 7}$

Step 1

Factor $6$ out of $6 p - 6$ .

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Step 1.1

Factor $6$ out of $6 p$ .

$\frac{6 (p) - 6}{p} \cdot \frac{2 p^{2}}{7 p - 7}$

Step 1.2

Factor $6$ out of $- 6$ .

$\frac{6 (p) + 6 (- 1)}{p} \cdot \frac{2 p^{2}}{7 p - 7}$

Step 1.3

Factor $6$ out of $6 (p) + 6 (- 1)$ .

$\frac{6 (p - 1)}{p} \cdot \frac{2 p^{2}}{7 p - 7}$

Step 2

Factor $7$ out of $7 p - 7$ .

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Step 2.1

Factor $7$ out of $7 p$ .

$\frac{6 (p - 1)}{p} \cdot \frac{2 p^{2}}{7 (p) - 7}$

Step 2.2

Factor $7$ out of $- 7$ .

$\frac{6 (p - 1)}{p} \cdot \frac{2 p^{2}}{7 (p) + 7 (- 1)}$

Step 2.3

Factor $7$ out of $7 (p) + 7 (- 1)$ .

$\frac{6 (p - 1)}{p} \cdot \frac{2 p^{2}}{7 (p - 1)}$

Step 3

Combine.

$\frac{6 (p - 1) (2 p^{2})}{p (7 (p - 1))}$

Step 4

Cancel the common factor of $p - 1$ .

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Step 4.1

Cancel the common factor.

$\frac{6 (p - 1) (2 p^{2})}{p (7 (p - 1))}$

Step 4.2

Rewrite the expression.

$\frac{6 (2 p^{2})}{p \cdot (7)}$

Step 5

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

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Step 5.1

Factor $p$ out of $6 (2 p^{2})$ .

$\frac{p (6 (2 p))}{p \cdot (7)}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $p$ out of $p \cdot (7)$ .

$\frac{p (6 (2 p))}{p (7)}$

Step 5.2.2

Cancel the common factor.

$\frac{p (6 (2 p))}{p \cdot 7}$

Step 5.2.3

Rewrite the expression.

$\frac{6 (2 p)}{7}$

Step 6

Multiply $6$ by $2$ .

$\frac{12 p}{7}$