Basic Math Examples

$\frac{\frac{2 a^{2} + 12 a}{a + 6}}{\frac{a + 3}{10}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{2 a^{2} + 12 a}{a + 6} \cdot \frac{10}{a + 3}$

Step 2

Factor $2 a$ out of $2 a^{2} + 12 a$ .

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Step 2.1

Factor $2 a$ out of $2 a^{2}$ .

$\frac{2 a (a) + 12 a}{a + 6} \cdot \frac{10}{a + 3}$

Step 2.2

Factor $2 a$ out of $12 a$ .

$\frac{2 a (a) + 2 a (6)}{a + 6} \cdot \frac{10}{a + 3}$

Step 2.3

Factor $2 a$ out of $2 a (a) + 2 a (6)$ .

$\frac{2 a (a + 6)}{a + 6} \cdot \frac{10}{a + 3}$

Step 3

Cancel the common factor of $a + 6$ .

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Step 3.1

Cancel the common factor.

$\frac{2 a (a + 6)}{a + 6} \cdot \frac{10}{a + 3}$

Step 3.2

Divide $2 a$ by $1$ .

$2 a \frac{10}{a + 3}$

Step 4

Multiply $2 a \frac{10}{a + 3}$ .

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Step 4.1

Combine $2$ and $\frac{10}{a + 3}$ .

$a \frac{2 \cdot 10}{a + 3}$

Step 4.2

Multiply $2$ by $10$ .

$a \frac{20}{a + 3}$

Step 4.3

Combine $a$ and $\frac{20}{a + 3}$ .

$\frac{a \cdot 20}{a + 3}$

Step 5

Move $20$ to the left of $a$ .

$\frac{20 a}{a + 3}$