Simplify (x^2)/(3x)+x

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

Step 1

Cancel the common factor of $x^{2}$ and $x$ .

Factor $x$ out of $x^{2}$ .

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

Cancel the common factors.

Factor $x$ out of $3 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

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

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

Step 3

Simplify terms.

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

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

Combine the numerators over the common denominator.

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

Step 4

Simplify the numerator.

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

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

Add $x$ and $3 x$ .

$\frac{4 x}{3}$