Simplify 3/(4x)+5/(4x^2)

$\frac{3}{4 x} + \frac{5}{4 x^{2}}$

Step 1

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

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

Step 2

Write each expression with a common denominator of $4 x^{2}$ , by multiplying each by an appropriate factor of $1$ .

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

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

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

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

Multiply $x$ by $x$ .

$\frac{3 x}{4 x^{2}} + \frac{5}{4 x^{2}}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 x + 5}{4 x^{2}}$