Solve {l}{(-2/3)^2+(-2/3)}{-2}

$$\left. \begin{array} { l } { ( - \frac { 2 } { 3 } ) ^ { 2 } + ( - \frac { 2 } { 3 } ) } \\ { - 2 } \end{array} \right.$$

Evaluate

$$-\frac{20}{9}\approx -2.222222222$$

Solution Steps

Calculate -\frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$\frac{4}{9}-\frac{2}{3}-2$$

Least common multiple of 9 and 3 is 9. Convert \frac{4}{9} and \frac{2}{3} to fractions with denominator 9.

$$\frac{4}{9}-\frac{6}{9}-2$$

Since \frac{4}{9} and \frac{6}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-6}{9}-2$$

Subtract 6 from 4 to get -2.

$$-\frac{2}{9}-2$$

Convert 2 to fraction \frac{18}{9}.

$$-\frac{2}{9}-\frac{18}{9}$$

Since -\frac{2}{9} and \frac{18}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-18}{9}$$

Subtract 18 from -2 to get -20.

$$-\frac{20}{9}$$

Factor

$$-\frac{20}{9} = -2\frac{2}{9} = -2.2222222222222223$$