Write in Standard Form (1/3i)-(-6+2/3i)

$(\frac{1}{3} i) - (- 6 + \frac{2}{3} i)$

Step 1

Simplify each term.

Combine $\frac{1}{3}$ and $i$ .

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

Combine $\frac{2}{3}$ and $i$ .

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

Apply the distributive property.

$\frac{i}{3} - - 6 - \frac{2 i}{3}$

Multiply $- 1$ by $- 6$ .

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

Step 2

Simplify terms.

Combine the numerators over the common denominator.

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

Subtract $2 i$ from $i$ .

$6 + \frac{- i}{3}$

Move the negative in front of the fraction.

$6 - \frac{i}{3}$