Pre-Algebra Examples

$\frac{6}{x} + \frac{2}{5 x}$

Step 1

To write $\frac{6}{x}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{6}{x} \cdot \frac{5}{5} + \frac{2}{5 x}$

Step 2

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

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Step 2.1

Multiply $\frac{6}{x}$ by $\frac{5}{5}$ .

$\frac{6 \cdot 5}{x \cdot 5} + \frac{2}{5 x}$

Step 2.2

Move $5$ to the left of $x$ .

$\frac{6 \cdot 5}{5 x} + \frac{2}{5 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{6 \cdot 5 + 2}{5 x}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $6$ by $5$ .

$\frac{30 + 2}{5 x}$

Step 4.2

Add $30$ and $2$ .

$\frac{32}{5 x}$