Simplify (2x+1)/(2x)+7/x

$\frac{2 x + 1}{2 x} + \frac{7}{x}$

Step 1

To write $\frac{7}{x}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{2 x + 1}{2 x} + \frac{7}{x} \cdot \frac{2}{2}$

Step 2

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

Multiply $\frac{7}{x}$ by $\frac{2}{2}$ .

$\frac{2 x + 1}{2 x} + \frac{7 \cdot 2}{x \cdot 2}$

Reorder the factors of $x \cdot 2$ .

$\frac{2 x + 1}{2 x} + \frac{7 \cdot 2}{2 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{2 x + 1 + 7 \cdot 2}{2 x}$

Step 4

Simplify the numerator.

Multiply $7$ by $2$ .

$\frac{2 x + 1 + 14}{2 x}$

Add $1$ and $14$ .

$\frac{2 x + 15}{2 x}$