Simplify (2x)/2+x/3

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

Step 1

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Step 2

To write $x$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$x \cdot \frac{3}{3} + \frac{x}{3}$

Step 3

Simplify terms.

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

$\frac{x \cdot 3}{3} + \frac{x}{3}$

Combine the numerators over the common denominator.

$\frac{x \cdot 3 + x}{3}$

Step 4

Simplify the numerator.

Move $3$ to the left of $x$ .

$\frac{3 \cdot x + x}{3}$

Add $3 x$ and $x$ .

$\frac{4 x}{3}$