Algebra Examples

$\frac{1}{3} x + \frac{1}{4} + \frac{2}{3} x$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{1}{3}$ and $x$ .

$\frac{x}{3} + \frac{1}{4} + \frac{2}{3} x$

Step 1.2

Combine $\frac{2}{3}$ and $x$ .

$\frac{x}{3} + \frac{1}{4} + \frac{2 x}{3}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{x + 2 x}{3} + \frac{1}{4}$

Step 2.2

Add $x$ and $2 x$ .

$\frac{3 x}{3} + \frac{1}{4}$

Step 2.3

Cancel the common factor of $3$ .

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Step 2.3.1

Cancel the common factor.

$\frac{3 x}{3} + \frac{1}{4}$

Step 2.3.2

Divide $x$ by $1$ .

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