Algebra Examples

$\frac{5 a}{5 a + 5} \cdot \frac{10 a + 10}{a}$

Step 1

Factor $5$ out of $5 a + 5$ .

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Step 1.1

Factor $5$ out of $5 a$ .

$\frac{5 a}{5 (a) + 5} \cdot \frac{10 a + 10}{a}$

Step 1.2

Factor $5$ out of $5$ .

$\frac{5 a}{5 (a) + 5 (1)} \cdot \frac{10 a + 10}{a}$

Step 1.3

Factor $5$ out of $5 (a) + 5 (1)$ .

$\frac{5 a}{5 (a + 1)} \cdot \frac{10 a + 10}{a}$

Step 2

Factor $10$ out of $10 a + 10$ .

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Step 2.1

Factor $10$ out of $10 a$ .

$\frac{5 a}{5 (a + 1)} \cdot \frac{10 (a) + 10}{a}$

Step 2.2

Factor $10$ out of $10$ .

$\frac{5 a}{5 (a + 1)} \cdot \frac{10 (a) + 10 (1)}{a}$

Step 2.3

Factor $10$ out of $10 (a) + 10 (1)$ .

$\frac{5 a}{5 (a + 1)} \cdot \frac{10 (a + 1)}{a}$

Step 3

Cancel the common factor of $a$ .

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Step 3.1

Factor $a$ out of $5 a$ .

$\frac{a \cdot 5}{5 (a + 1)} \cdot \frac{10 (a + 1)}{a}$

Step 3.2

Cancel the common factor.

$\frac{a \cdot 5}{5 (a + 1)} \cdot \frac{10 (a + 1)}{a}$

Step 3.3

Rewrite the expression.

$\frac{5}{5 (a + 1)} \cdot (10 (a + 1))$

Step 4

Cancel the common factor of $5 (a + 1)$ .

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Step 4.1

Factor $5 (a + 1)$ out of $10 (a + 1)$ .

$\frac{5}{5 (a + 1)} \cdot (5 (a + 1) (2))$

Step 4.2

Cancel the common factor.

$\frac{5}{5 (a + 1)} \cdot (5 (a + 1) \cdot 2)$

Step 4.3

Rewrite the expression.

$5 \cdot 2$

Step 5

Multiply $5$ by $2$ .

$10$