Simplify 1/x+4/5

$\frac{1}{x} + \frac{4}{5}$

Step 1

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

$\frac{1}{x} \cdot \frac{5}{5} + \frac{4}{5}$

Step 2

To write $\frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$\frac{1}{x} \cdot \frac{5}{5} + \frac{4}{5} \cdot \frac{x}{x}$

Step 3

Write each expression with a common denominator of $x \cdot 5$ , by multiplying each by an appropriate factor of $1$ .

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

$\frac{5}{x \cdot 5} + \frac{4}{5} \cdot \frac{x}{x}$

Multiply $\frac{4}{5}$ by $\frac{x}{x}$ .

$\frac{5}{x \cdot 5} + \frac{4 x}{5 x}$

Reorder the factors of $x \cdot 5$ .

$\frac{5}{5 x} + \frac{4 x}{5 x}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 + 4 x}{5 x}$