Solve (1/2)^2-2(1/2)+5

$$( \frac { 1 } { 2 } ) ^ { 2 } - 2 ( \frac { 1 } { 2 } ) + 5$$

Evaluate

$$\frac{17}{4}=4.25$$

Solution Steps

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{1}{4}-2\times \frac{1}{2}+5$$

Cancel out 2 and 2.

$$\frac{1}{4}-1+5$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{1}{4}-\frac{4}{4}+5$$

Since \frac{1}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-4}{4}+5$$

Subtract 4 from 1 to get -3.

$$-\frac{3}{4}+5$$

Convert 5 to fraction \frac{20}{4}.

$$-\frac{3}{4}+\frac{20}{4}$$

Since -\frac{3}{4} and \frac{20}{4} have the same denominator, add them by adding their numerators.

$$\frac{-3+20}{4}$$

Add -3 and 20 to get 17.

$$\frac{17}{4}$$

Factor

$$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$$