Pre-Algebra Examples

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

Step 1

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} + x$

Step 2

To write $x$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 3

Simplify terms.

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Step 3.1

Combine $x$ and $\frac{2}{2}$ .

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

Step 3.2

Combine the numerators over the common denominator.

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

Step 4

Simplify the numerator.

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Step 4.1

Move $2$ to the left of $x$ .

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

Step 4.2

Add $x$ and $2 x$ .

$\frac{3 x}{2}$