Solve 11/12-(1/2)^2-2/3

$$\frac { 11 } { 12 } - ( \frac { 1 } { 2 } ) ^ { 2 } - \frac { 2 } { 3 }$$

Evaluate

$$0$$

Solution Steps

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

$$\frac{11}{12}-\frac{1}{4}-\frac{2}{3}$$

Least common multiple of 12 and 4 is 12. Convert \frac{11}{12} and \frac{1}{4} to fractions with denominator 12.

$$\frac{11}{12}-\frac{3}{12}-\frac{2}{3}$$

Since \frac{11}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-3}{12}-\frac{2}{3}$$

Subtract 3 from 11 to get 8.

$$\frac{8}{12}-\frac{2}{3}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

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

Subtract \frac{2}{3} from \frac{2}{3} to get 0.

$$0$$

Factor

$$0$$