Pre-Algebra Examples

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

Step 1

Combine the numerators over the common denominator.

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

Step 2

Add $1$ and $1$ .

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

Step 3

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

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Step 3.1

Factor $2$ out of $2$ .

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $4$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the expression.

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Step 5.1

Add $1$ and $1$ .

$\frac{2}{2}$

Step 5.2

Divide $2$ by $2$ .

$1$