Pre-Algebra Examples

$\frac{1}{4} = \frac{x}{12}$

Step 1

Rewrite the equation as $\frac{x}{12} = \frac{1}{4}$ .

$\frac{x}{12} = \frac{1}{4}$

Step 2

Multiply both sides of the equation by $12$ .

$12 \frac{x}{12} = 12 (\frac{1}{4})$

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.

$12 \frac{x}{12} = 12 (\frac{1}{4})$

Step 3.1.1.2

Rewrite the expression.

$x = 12 (\frac{1}{4})$

$x = 12 (\frac{1}{4})$

$x = 12 (\frac{1}{4})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Factor $4$ out of $12$ .

$x = 4 (3) \frac{1}{4}$

Step 3.2.1.2

Cancel the common factor.

$x = 4 \cdot 3 \frac{1}{4}$

Step 3.2.1.3

Rewrite the expression.

$x = 3$

$x = 3$

$x = 3$

$x = 3$

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