Write in Standard Form -(4-i square root of 2)/12

$- \frac{4 - i \sqrt{2}}{12}$

Step 1

Split the fraction $\frac{4 - i \sqrt{2}}{12}$ into two fractions.

$- (\frac{4}{12} + \frac{- i \sqrt{2}}{12})$

Step 2

Cancel the common factor of $4$ and $12$ .

Factor $4$ out of $4$ .

$- (\frac{4 (1)}{12} + \frac{- i \sqrt{2}}{12})$

Cancel the common factors.

Factor $4$ out of $12$ .

$- (\frac{4 \cdot 1}{4 \cdot 3} + \frac{- i \sqrt{2}}{12})$

Cancel the common factor.

$- (\frac{4 \cdot 1}{4 \cdot 3} + \frac{- i \sqrt{2}}{12})$

Rewrite the expression.

$- (\frac{1}{3} + \frac{- i \sqrt{2}}{12})$

Step 3

Move the negative in front of the fraction.

$- (\frac{1}{3} - \frac{i \sqrt{2}}{12})$