Pre-Algebra Examples

$\frac{4}{8} = \frac{x}{12}$

Step 1

Rewrite the equation as $\frac{x}{12} = \frac{4}{8}$ .

$\frac{x}{12} = \frac{4}{8}$

Step 2

Multiply both sides of the equation by $12$ .

$12 \frac{x}{12} = 12 (\frac{4}{8})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $12$ .

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Step 3.1.1.1

Cancel the common factor.

$12 \frac{x}{12} = 12 (\frac{4}{8})$

Step 3.1.1.2

Rewrite the expression.

$x = 12 (\frac{4}{8})$

$x = 12 (\frac{4}{8})$

$x = 12 (\frac{4}{8})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $12 (\frac{4}{8})$ .

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Step 3.2.1.1

Cancel the common factor of $4$ .

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Step 3.2.1.1.1

Factor $4$ out of $12$ .

$x = 4 (3) \frac{4}{8}$

Step 3.2.1.1.2

Factor $4$ out of $8$ .

$x = 4 \cdot 3 \frac{4}{4 \cdot 2}$

Step 3.2.1.1.3

Cancel the common factor.

$x = 4 \cdot 3 \frac{4}{4 \cdot 2}$

Step 3.2.1.1.4

Rewrite the expression.

$x = 3 (\frac{4}{2})$

$x = 3 (\frac{4}{2})$

Step 3.2.1.2

Combine $3$ and $\frac{4}{2}$ .

$x = \frac{3 \cdot 4}{2}$

Step 3.2.1.3

Simplify the expression.

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Step 3.2.1.3.1

Multiply $3$ by $4$ .

$x = \frac{12}{2}$

Step 3.2.1.3.2

Divide $12$ by $2$ .

$x = 6$

$x = 6$

$x = 6$

$x = 6$

$x = 6$

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