Solve =3/2+(-k)+(-2)text{where}k=-5/2

$$= \frac { 3 } { 2 } + ( - k ) + ( - 2 ) \text { where } k = - \frac { 5 } { 2 }$$

Evaluate

$$-k-\frac{1}{2}$$

Solution Steps

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

$$\frac{3}{2}-k-\frac{4}{2}$$

Since \frac{3}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-4}{2}-k$$

Subtract 4 from 3 to get -1.

$$-\frac{1}{2}-k$$

Factor

$$\frac{-2k-1}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{-1-2k}{2}$$

Consider 3-2k-4. Multiply and combine like terms.

$$-2k-1$$

Rewrite the complete factored expression.

$$\frac{-2k-1}{2}$$