Simplify 1/3x+3/4+2/3x-1/4-2/3x

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

Step 1

Simplify terms.

Combine the opposite terms in $\frac{1}{3} x + \frac{3}{4} + \frac{2}{3} x - \frac{1}{4} - \frac{2}{3} x$ .

Subtract $\frac{2}{3} x$ from $\frac{2}{3} x$ .

$\frac{1}{3} x + \frac{3}{4} + 0 - \frac{1}{4}$

Add $\frac{1}{3} x + \frac{3}{4}$ and $0$ .

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

Combine the numerators over the common denominator.

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

Subtract $1$ from $3$ .

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

Step 2

Simplify each term.

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

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

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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