Algebra Examples

$(\frac{2}{3} + 6 i) + (\frac{5}{2} i)$

Step 1

Combine $\frac{5}{2}$ and $i$ .

$\frac{2}{3} + 6 i + \frac{5 i}{2}$

Step 2

To write $6 i$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{2}{3} + 6 i \cdot \frac{2}{2} + \frac{5 i}{2}$

Step 3

Combine $6 i$ and $\frac{2}{2}$ .

$\frac{2}{3} + \frac{6 i \cdot 2}{2} + \frac{5 i}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{2}{3} + \frac{17 i}{2}$