Algebra Examples

$\frac{15}{26 x} + \frac{2}{13}$

Step 1

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

$\frac{15}{26 x} + \frac{2}{13} \cdot \frac{2 x}{2 x}$

Step 2

Write each expression with a common denominator of $26 x$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

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

$\frac{15}{26 x} + \frac{2 (2 x)}{13 (2 x)}$

Step 2.2

Multiply $2$ by $13$ .

$\frac{15}{26 x} + \frac{2 (2 x)}{26 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{15 + 2 (2 x)}{26 x}$

Step 4

Multiply $2$ by $2$ .

$\frac{15 + 4 x}{26 x}$