Pre-Algebra Examples

$\frac{1}{2 b} + \frac{b}{2}$

Step 1

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

$\frac{1}{2 b} + \frac{b}{2} \cdot \frac{b}{b}$

Step 2

Multiply $\frac{b}{2}$ by $\frac{b}{b}$ .

$\frac{1}{2 b} + \frac{b \cdot b}{2 b}$

Step 3

Combine the numerators over the common denominator.

$\frac{1 + b \cdot b}{2 b}$

Step 4

Multiply $b$ by $b$ .

$\frac{1 + b^{2}}{2 b}$