Simplify x/2-x/4

$\frac{x}{2} - \frac{x}{4}$

Step 1

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

$\frac{x}{2} \cdot \frac{2}{2} - \frac{x}{4}$

Step 2

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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

$\frac{x \cdot 2}{2 \cdot 2} - \frac{x}{4}$

Multiply $2$ by $2$ .

$\frac{x \cdot 2}{4} - \frac{x}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{x \cdot 2 - x}{4}$

Step 4

Simplify the numerator.

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

$\frac{2 \cdot x - x}{4}$

Subtract $x$ from $2 x$ .

$\frac{x}{4}$