Simplify 13/(2x)-5/x

$\frac{13}{2 x} - \frac{5}{x}$

Step 1

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

$\frac{13}{2 x} - \frac{5}{x} \cdot \frac{2}{2}$

Step 2

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

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

$\frac{13}{2 x} - \frac{5 \cdot 2}{x \cdot 2}$

Reorder the factors of $x \cdot 2$ .

$\frac{13}{2 x} - \frac{5 \cdot 2}{2 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{13 - 5 \cdot 2}{2 x}$

Step 4

Simplify the numerator.

Multiply $- 5$ by $2$ .

$\frac{13 - 10}{2 x}$

Subtract $10$ from $13$ .

$\frac{3}{2 x}$