Pre-Algebra Examples

$\frac{4}{5} + \frac{6}{5 x}$

Step 1

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

$\frac{4}{5} \cdot \frac{x}{x} + \frac{6}{5 x}$

Step 2

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

$\frac{4 x}{5 x} + \frac{6}{5 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{4 x + 6}{5 x}$

Step 4

Factor $2$ out of $4 x + 6$ .

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Step 4.1

Factor $2$ out of $4 x$ .

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

Step 4.2

Factor $2$ out of $6$ .

$\frac{2 (2 x) + 2 (3)}{5 x}$

Step 4.3

Factor $2$ out of $2 (2 x) + 2 (3)$ .

$\frac{2 (2 x + 3)}{5 x}$