Pre-Algebra Examples

$\frac{1}{2} + \frac{13}{x}$

Step 1

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$\frac{1}{2} \cdot \frac{x}{x} + \frac{13}{x}$

Step 2

To write $\frac{13}{x}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} \cdot \frac{x}{x} + \frac{13}{x} \cdot \frac{2}{2}$

Step 3

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

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Step 3.1

Multiply $\frac{1}{2}$ by $\frac{x}{x}$ .

$\frac{x}{2 x} + \frac{13}{x} \cdot \frac{2}{2}$

Step 3.2

Multiply $\frac{13}{x}$ by $\frac{2}{2}$ .

$\frac{x}{2 x} + \frac{13 \cdot 2}{x \cdot 2}$

Step 3.3

Reorder the factors of $x \cdot 2$ .

$\frac{x}{2 x} + \frac{13 \cdot 2}{2 x}$

Step 4

Combine the numerators over the common denominator.

$\frac{x + 13 \cdot 2}{2 x}$

Step 5

Multiply $13$ by $2$ .

$\frac{x + 26}{2 x}$