Simplify x/3-1/4x

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

Combine $x$ and $\frac{1}{4}$ .

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

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

$\frac{x}{3} \cdot \frac{4}{4} - \frac{x}{4}$

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

$\frac{x}{3} \cdot \frac{4}{4} - \frac{x}{4} \cdot \frac{3}{3}$

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

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

$\frac{x \cdot 4}{3 \cdot 4} - \frac{x}{4} \cdot \frac{3}{3}$

Multiply $3$ by $4$ .

$\frac{x \cdot 4}{12} - \frac{x}{4} \cdot \frac{3}{3}$

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

$\frac{x \cdot 4}{12} - \frac{x \cdot 3}{4 \cdot 3}$

Multiply $4$ by $3$ .

$\frac{x \cdot 4}{12} - \frac{x \cdot 3}{12}$

Combine the numerators over the common denominator.

$\frac{x \cdot 4 - x \cdot 3}{12}$

Simplify the numerator.

Factor $x$ out of $x \cdot 4 - x \cdot 3$ .

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

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

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

$\frac{x (4) + x (- 1 \cdot 3)}{12}$

Factor $x$ out of $x (4) + x (- 1 \cdot 3)$ .

$\frac{x (4 - 1 \cdot 3)}{12}$

Multiply $- 1$ by $3$ .

$\frac{x (4 - 3)}{12}$

Subtract $3$ from $4$ .

$\frac{x \cdot 1}{12}$

Multiply $x$ by $1$ .

$\frac{x}{12}$