Pre-Algebra Examples

$\frac{1}{v + 10} \cdot \frac{10 v + 30}{v + 3}$

Step 1

Factor $10$ out of $10 v + 30$ .

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Step 1.1

Factor $10$ out of $10 v$ .

$\frac{1}{v + 10} \cdot \frac{10 (v) + 30}{v + 3}$

Step 1.2

Factor $10$ out of $30$ .

$\frac{1}{v + 10} \cdot \frac{10 v + 10 \cdot 3}{v + 3}$

Step 1.3

Factor $10$ out of $10 v + 10 \cdot 3$ .

$\frac{1}{v + 10} \cdot \frac{10 (v + 3)}{v + 3}$

Step 2

Cancel the common factor of $v + 3$ .

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Step 2.1

Cancel the common factor.

$\frac{1}{v + 10} \cdot \frac{10 (v + 3)}{v + 3}$

Step 2.2

Divide $10$ by $1$ .

$\frac{1}{v + 10} \cdot 10$

Step 3

Combine $\frac{1}{v + 10}$ and $10$ .

$\frac{10}{v + 10}$