Trigonometry Examples

$\frac{4 - 5 i}{10}$

Step 1

Split the fraction $\frac{4 - 5 i}{10}$ into two fractions.

$\frac{4}{10} + \frac{- 5 i}{10}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Cancel the common factor of $4$ and $10$ .

Tap for more steps...

Step 2.1.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{10} + \frac{- 5 i}{10}$

Step 2.1.2

Cancel the common factors.

Tap for more steps...

Step 2.1.2.1

Factor $2$ out of $10$ .

$\frac{2 \cdot 2}{2 \cdot 5} + \frac{- 5 i}{10}$

Step 2.1.2.2

Cancel the common factor.

$\frac{2 \cdot 2}{2 \cdot 5} + \frac{- 5 i}{10}$

Step 2.1.2.3

Rewrite the expression.

$\frac{2}{5} + \frac{- 5 i}{10}$

$\frac{2}{5} + \frac{- 5 i}{10}$

$\frac{2}{5} + \frac{- 5 i}{10}$

Step 2.2

Cancel the common factor of $- 5$ and $10$ .

Tap for more steps...

Step 2.2.1

Factor $5$ out of $- 5 i$ .

$\frac{2}{5} + \frac{5 (- i)}{10}$

Step 2.2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.2.1

Factor $5$ out of $10$ .

$\frac{2}{5} + \frac{5 (- i)}{5 (2)}$

Step 2.2.2.2

Cancel the common factor.

$\frac{2}{5} + \frac{5 (- i)}{5 \cdot 2}$

Step 2.2.2.3

Rewrite the expression.

$\frac{2}{5} + \frac{- i}{2}$

$\frac{2}{5} + \frac{- i}{2}$

$\frac{2}{5} + \frac{- i}{2}$

Step 2.3

Move the negative in front of the fraction.

$\frac{2}{5} - \frac{i}{2}$

$\frac{2}{5} - \frac{i}{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$