Pre-Algebra Examples

$\frac{12 x - 4 x + 8}{4 x}$

Step 1

Cancel the common factor of $12 x - 4 x + 8$ and $4$ .

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Step 1.1

Factor $4$ out of $12 x$ .

$\frac{4 (3 x) - 4 x + 8}{4 x}$

Step 1.2

Factor $4$ out of $- 4 x$ .

$\frac{4 (3 x) + 4 (- x) + 8}{4 x}$

Step 1.3

Factor $4$ out of $4 (3 x) + 4 (- x)$ .

$\frac{4 (3 x - x) + 8}{4 x}$

Step 1.4

Factor $4$ out of $8$ .

$\frac{4 (3 x - x) + 4 \cdot 2}{4 x}$

Step 1.5

Factor $4$ out of $4 (3 x - x) + 4 (2)$ .

$\frac{4 (3 x - x + 2)}{4 x}$

Step 1.6

Cancel the common factors.

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Step 1.6.1

Factor $4$ out of $4 x$ .

$\frac{4 (3 x - x + 2)}{4 (x)}$

Step 1.6.2

Cancel the common factor.

$\frac{4 (3 x - x + 2)}{4 x}$

Step 1.6.3

Rewrite the expression.

$\frac{3 x - x + 2}{x}$

$\frac{3 x - x + 2}{x}$

$\frac{3 x - x + 2}{x}$

Step 2

Simplify the numerator.

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Step 2.1

Subtract $x$ from $3 x$ .

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

Step 2.2

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

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Step 2.2.1

Factor $2$ out of $2 x$ .

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

Step 2.2.2

Factor $2$ out of $2$ .

$\frac{2 (x) + 2 (1)}{x}$

Step 2.2.3

Factor $2$ out of $2 (x) + 2 (1)$ .

$\frac{2 (x + 1)}{x}$

$\frac{2 (x + 1)}{x}$

$\frac{2 (x + 1)}{x}$

Step 3

Apply the distributive property.

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

Step 4

Multiply $2$ by $1$ .

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

Step 5

Split the fraction $\frac{2 x + 2}{x}$ into two fractions.

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

Step 6

Cancel the common factor of $x$ .

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Step 6.1

Cancel the common factor.

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

Step 6.2

Divide $2$ by $1$ .

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$