Solve (1/3-5/6)^2+5/6:2

$$( \frac { 1 } { 3 } - \frac { 5 } { 6 } ) ^ { 2 } + \frac { 5 } { 6 } : 2$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Subtract \frac{5}{6} from \frac{1}{3} to get -\frac{1}{2}.

$$\left(-\frac{1}{2}\right)^{2}+\frac{\frac{5}{6}}{2}$$

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

$$\frac{1}{4}+\frac{\frac{5}{6}}{2}$$

Express \frac{\frac{5}{6}}{2} as a single fraction.

$$\frac{1}{4}+\frac{5}{6\times 2}$$

Multiply 6 and 2 to get 12.

$$\frac{1}{4}+\frac{5}{12}$$

Add \frac{1}{4} and \frac{5}{12} to get \frac{2}{3}.

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

Factor

$$\frac{2}{3} = 0.6666666666666666$$