Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply $- 1$ by $- 6$ .

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

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

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

Step 2.2

Subtract $2 i$ from $i$ .

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

Step 2.3

Move the negative in front of the fraction.

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