Solve [(1-1/2)^2+(1-3/4)^2]*2/3

$$[ ( 1 - \frac { 1 } { 2 } ) ^ { 2 } + ( 1 - \frac { 3 } { 4 } ) ^ { 2 } ] \cdot \frac { 2 } { 3 }$$

Evaluate

$$\frac{5}{24}\approx 0.208333333$$

Solution Steps

Subtract \frac{1}{2} from 1 to get \frac{1}{2}.

$$\left(\left(\frac{1}{2}\right)^{2}+\left(1-\frac{3}{4}\right)^{2}\right)\times \frac{2}{3}$$

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

$$\left(\frac{1}{4}+\left(1-\frac{3}{4}\right)^{2}\right)\times \frac{2}{3}$$

Subtract \frac{3}{4} from 1 to get \frac{1}{4}.

$$\left(\frac{1}{4}+\left(\frac{1}{4}\right)^{2}\right)\times \frac{2}{3}$$

Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\left(\frac{1}{4}+\frac{1}{16}\right)\times \frac{2}{3}$$

Add \frac{1}{4} and \frac{1}{16} to get \frac{5}{16}.

$$\frac{5}{16}\times \frac{2}{3}$$

Multiply \frac{5}{16} and \frac{2}{3} to get \frac{5}{24}.

$$\frac{5}{24}$$

Factor

$$\frac{5}{2 ^ {3} \cdot 3} = 0.20833333333333334$$