Simplify 3/10+1/(5x)

$\frac{3}{10} + \frac{1}{5 x}$

To write $\frac{3}{10}$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$\frac{3}{10} \cdot \frac{x}{x} + \frac{1}{5 x}$

To write $\frac{1}{5 x}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{3}{10} \cdot \frac{x}{x} + \frac{1}{5 x} \cdot \frac{2}{2}$

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

Multiply $\frac{3}{10}$ by $\frac{x}{x}$ .

$\frac{3 x}{10 x} + \frac{1}{5 x} \cdot \frac{2}{2}$

Multiply $\frac{1}{5 x}$ by $\frac{2}{2}$ .

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

Multiply $2$ by $5$ .

$\frac{3 x}{10 x} + \frac{2}{10 x}$

Combine the numerators over the common denominator.

$\frac{3 x + 2}{10 x}$