Simplify 5/4+3/(8x)

$\frac{5}{4} + \frac{3}{8 x}$

To write $\frac{5}{4}$ as a fraction with a common denominator, multiply by $\frac{2 x}{2 x}$ .

$\frac{5}{4} \cdot \frac{2 x}{2 x} + \frac{3}{8 x}$

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

Multiply $\frac{5}{4}$ by $\frac{2 x}{2 x}$ .

$\frac{5 (2 x)}{4 (2 x)} + \frac{3}{8 x}$

Multiply $2$ by $4$ .

$\frac{5 (2 x)}{8 x} + \frac{3}{8 x}$

Combine the numerators over the common denominator.

$\frac{5 (2 x) + 3}{8 x}$

Multiply $5$ by $2$ .

$\frac{10 x + 3}{8 x}$