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

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

Step 1

Simplify each term.

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

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

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

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

Move $2$ to the left of $x$ .

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

Step 2

Simplify terms.

Combine the numerators over the common denominator.

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

Subtract $2 x$ from $x$ .

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

Move the negative in front of the fraction.

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