Pre-Algebra Examples

$\frac{8}{x} + \frac{5}{x^{2}}$

Step 1

To write $\frac{8}{x}$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$\frac{8}{x} \cdot \frac{x}{x} + \frac{5}{x^{2}}$

Step 2

Write each expression with a common denominator of $x^{2}$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{8}{x}$ by $\frac{x}{x}$ .

$\frac{8 x}{x \cdot x} + \frac{5}{x^{2}}$

Step 2.2

Multiply $x$ by $x$ .

$\frac{8 x}{x^{2}} + \frac{5}{x^{2}}$

Step 3

Combine the numerators over the common denominator.

$\frac{8 x + 5}{x^{2}}$