Solve 3(1/2)^2-2(1/2)-6

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

Evaluate

$$-\frac{25}{4}=-6.25$$

Solution Steps

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

$$3\times \frac{1}{4}-2\times \frac{1}{2}-6$$

Multiply 3 and \frac{1}{4} to get \frac{3}{4}.

$$\frac{3}{4}-2\times \frac{1}{2}-6$$

Cancel out 2 and 2.

$$\frac{3}{4}-1-6$$

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

$$\frac{3}{4}-\frac{4}{4}-6$$

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

$$\frac{3-4}{4}-6$$

Subtract 4 from 3 to get -1.

$$-\frac{1}{4}-6$$

Convert 6 to fraction \frac{24}{4}.

$$-\frac{1}{4}-\frac{24}{4}$$

Since -\frac{1}{4} and \frac{24}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-24}{4}$$

Subtract 24 from -1 to get -25.

$$-\frac{25}{4}$$

Factor

$$-\frac{25}{4} = -6\frac{1}{4} = -6.25$$