Simplify (2x)/3+x/4

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

To write $\frac{2 x}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

To write $\frac{x}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2 x}{3}$ by $\frac{4}{4}$ .

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

Multiply $3$ by $4$ .

$\frac{2 x \cdot 4}{12} + \frac{x}{4} \cdot \frac{3}{3}$

Multiply $\frac{x}{4}$ by $\frac{3}{3}$ .

$\frac{2 x \cdot 4}{12} + \frac{x \cdot 3}{4 \cdot 3}$

Multiply $4$ by $3$ .

$\frac{2 x \cdot 4}{12} + \frac{x \cdot 3}{12}$

Combine the numerators over the common denominator.

$\frac{2 x \cdot 4 + x \cdot 3}{12}$

Simplify the numerator.

Factor $x$ out of $2 x \cdot 4 + x \cdot 3$ .

Factor $x$ out of $2 x \cdot 4$ .

$\frac{x (2 \cdot 4) + x \cdot 3}{12}$

Factor $x$ out of $x \cdot 3$ .

$\frac{x (2 \cdot 4) + x (3)}{12}$

Factor $x$ out of $x (2 \cdot 4) + x (3)$ .

$\frac{x (2 \cdot 4 + 3)}{12}$

Multiply $2$ by $4$ .

$\frac{x (8 + 3)}{12}$

Add $8$ and $3$ .

$\frac{x \cdot 11}{12}$

Move $11$ to the left of $x$ .

$\frac{11 x}{12}$