Simplify 1/x+1/(2x)

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

Step 1

To write $\frac{1}{x}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 2

Write each expression with a common denominator of $x \cdot 2$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{x}$ by $\frac{2}{2}$ .

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

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

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Add $2$ and $1$ .

$\frac{3}{2 x}$