Pre-Algebra Examples

$\frac{1}{4} + \frac{2}{8}$

Step 1

Cancel the common factor of $2$ and $8$ .

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Step 1.1

Factor $2$ out of $2$ .

$\frac{1}{4} + \frac{2 (1)}{8}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $8$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

$\frac{1}{4} + \frac{1}{4}$

$\frac{1}{4} + \frac{1}{4}$

$\frac{1}{4} + \frac{1}{4}$

Step 2

Combine the numerators over the common denominator.

$\frac{1 + 1}{4}$

Step 3

Add $1$ and $1$ .

$\frac{2}{4}$

Step 4

Cancel the common factor of $2$ and $4$ .

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Step 4.1

Factor $2$ out of $2$ .

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $4$ .

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

$\frac{1}{2}$

$\frac{1}{2}$

$\frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

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