Algebra Examples

$\frac{x}{4} + \frac{x}{2} + \frac{3 x}{4}$

Step 1

Combine the numerators over the common denominator.

$\frac{x + 3 x}{4} + \frac{x}{2}$

Step 2

Add $x$ and $3 x$ .

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

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Divide $x$ by $1$ .

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

Step 4

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

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

Step 5

Simplify terms.

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Step 5.1

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

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

Step 5.2

Combine the numerators over the common denominator.

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

Step 6

Simplify the numerator.

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Step 6.1

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

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

Step 6.2

Add $2 x$ and $x$ .

$\frac{3 x}{2}$