Simplify 3/(8x)+1/4

$\frac{3}{8 x} + \frac{1}{4}$

Step 1

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{2 x}{2 x}$ .

$\frac{3}{8 x} + \frac{1}{4} \cdot \frac{2 x}{2 x}$

Step 2

Write each expression with a common denominator of $8 x$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{4}$ by $\frac{2 x}{2 x}$ .

$\frac{3}{8 x} + \frac{2 x}{4 (2 x)}$

Multiply $2$ by $4$ .

$\frac{3}{8 x} + \frac{2 x}{8 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 + 2 x}{8 x}$