Pre-Algebra Examples

$\frac{1}{4} x = \frac{1}{2}$

Step 1

Multiply both sides of the equation by $4$ .

$4 (\frac{1}{4} x) = 4 (\frac{1}{2})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $4 (\frac{1}{4} x)$ .

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Step 2.1.1.1

Combine $\frac{1}{4}$ and $x$ .

$4 \frac{x}{4} = 4 (\frac{1}{2})$

Step 2.1.1.2

Cancel the common factor of $4$ .

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Step 2.1.1.2.1

Cancel the common factor.

$4 \frac{x}{4} = 4 (\frac{1}{2})$

Step 2.1.1.2.2

Rewrite the expression.

$x = 4 (\frac{1}{2})$

$x = 4 (\frac{1}{2})$

$x = 4 (\frac{1}{2})$

$x = 4 (\frac{1}{2})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Factor $2$ out of $4$ .

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

Step 2.2.1.2

Cancel the common factor.

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

Step 2.2.1.3

Rewrite the expression.

$x = 2$

$x = 2$

$x = 2$

$x = 2$

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