Algebra Examples

$\frac{\frac{x^{2}}{x + 2}}{\frac{x^{3}}{2 x + 4}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{x^{2}}{x + 2} \cdot \frac{2 x + 4}{x^{3}}$

Step 2

Cancel the common factor of $x^{2}$ .

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Step 2.1

Factor $x^{2}$ out of $x^{3}$ .

$\frac{x^{2}}{x + 2} \cdot \frac{2 x + 4}{x^{2} x}$

Step 2.2

Cancel the common factor.

$\frac{x^{2}}{x + 2} \cdot \frac{2 x + 4}{x^{2} x}$

Step 2.3

Rewrite the expression.

$\frac{1}{x + 2} \cdot \frac{2 x + 4}{x}$

Step 3

Multiply $\frac{1}{x + 2}$ by $\frac{2 x + 4}{x}$ .

$\frac{2 x + 4}{(x + 2) x}$

Step 4

Factor $2$ out of $2 x + 4$ .

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Step 4.1

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 4}{(x + 2) x}$

Step 4.2

Factor $2$ out of $4$ .

$\frac{2 x + 2 \cdot 2}{(x + 2) x}$

Step 4.3

Factor $2$ out of $2 x + 2 \cdot 2$ .

$\frac{2 (x + 2)}{(x + 2) x}$

Step 5

Cancel the common factor of $x + 2$ .

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Step 5.1

Cancel the common factor.

$\frac{2 (x + 2)}{(x + 2) x}$

Step 5.2

Rewrite the expression.

$\frac{2}{x}$