Solve -1/2-j+(2-1/2j)

$$- \frac { 1 } { 2 } - j + ( 2 - \frac { 1 } { 2 } j )$$

Evaluate

$$\frac{3-3j}{2}$$

Solution Steps

Convert 2 to fraction \frac{4}{2}.

$$-\frac{1}{2}-j+\frac{4}{2}-\frac{1}{2}j$$

Since -\frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{-1+4}{2}-j-\frac{1}{2}j$$

Add -1 and 4 to get 3.

$$\frac{3}{2}-j-\frac{1}{2}j$$

Combine -j and -\frac{1}{2}j to get -\frac{3}{2}j.

$$\frac{3}{2}-\frac{3}{2}j$$

Factor

$$\frac{3\left(1-j\right)}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{3-3j}{2}$$

Consider -1-2j+4-j. Multiply and combine like terms.

$$-3j+3$$

Consider -3j+3. Factor out 3.

$$3\left(-j+1\right)$$

Rewrite the complete factored expression.

$$\frac{3\left(-j+1\right)}{2}$$