Solve (2)-1/2quad(b)-3/2

$$( 2 ) - \frac { 1 } { 2 } \quad ( b ) - \frac { 3 } { 2 }$$

Evaluate

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

Solution Steps

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

$$\frac{4}{2}-\frac{1}{2}b-\frac{3}{2}$$

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

$$\frac{4-3}{2}-\frac{1}{2}b$$

Subtract 3 from 4 to get 1.

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

Factor

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

Solution Steps

Factor out \frac{1}{2}.

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

Consider 4-b-3. Multiply and combine like terms.

$$-b+1$$

Rewrite the complete factored expression.

$$\frac{-b+1}{2}$$