Pre-Algebra Examples

$\frac{2}{5 x} + \frac{1}{x}$

Step 1

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

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Reorder the factors of $x \cdot 5$ .

$\frac{2}{5 x} + \frac{5}{5 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{2 + 5}{5 x}$

Step 4

Add $2$ and $5$ .

$\frac{7}{5 x}$