Algebra Examples

$\frac{\frac{1}{x + 5}}{\frac{x + 3}{5 x + 15}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{x + 5} \cdot \frac{5 x + 15}{x + 3}$

Step 2

Factor $5$ out of $5 x + 15$ .

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Step 2.1

Factor $5$ out of $5 x$ .

$\frac{1}{x + 5} \cdot \frac{5 (x) + 15}{x + 3}$

Step 2.2

Factor $5$ out of $15$ .

$\frac{1}{x + 5} \cdot \frac{5 x + 5 \cdot 3}{x + 3}$

Step 2.3

Factor $5$ out of $5 x + 5 \cdot 3$ .

$\frac{1}{x + 5} \cdot \frac{5 (x + 3)}{x + 3}$

Step 3

Cancel the common factor of $x + 3$ .

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Step 3.1

Cancel the common factor.

$\frac{1}{x + 5} \cdot \frac{5 (x + 3)}{x + 3}$

Step 3.2

Divide $5$ by $1$ .

$\frac{1}{x + 5} \cdot 5$

Step 4

Combine $\frac{1}{x + 5}$ and $5$ .

$\frac{5}{x + 5}$