Simplify 3/(4x)+1/x

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

Step 1

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

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

Step 2

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

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

$\frac{3}{4 x} + \frac{4}{x \cdot 4}$

Reorder the factors of $x \cdot 4$ .

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Add $3$ and $4$ .

$\frac{7}{4 x}$