Simplify 2/(5x)-3/(10x)

$\frac{2}{5 x} - \frac{3}{10 x}$

Step 1

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

$\frac{2}{5 x} \cdot \frac{2}{2} - \frac{3}{10 x}$

Step 2

Write each expression with a common denominator of $10 x$ , by multiplying each by an appropriate factor of $1$ .

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

$\frac{2 \cdot 2}{5 x \cdot 2} - \frac{3}{10 x}$

Multiply $2$ by $5$ .

$\frac{2 \cdot 2}{10 x} - \frac{3}{10 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{2 \cdot 2 - 3}{10 x}$

Step 4

Simplify the numerator.

Multiply $2$ by $2$ .

$\frac{4 - 3}{10 x}$

Subtract $3$ from $4$ .

$\frac{1}{10 x}$