Solve -3+14/3/(-2)-frac{1{3}}-4/9*(2/3)^-2+(1-frac{2}{2})^3*frac{8}{3}=

$$\frac { - 3 + \frac { 14 } { 3 } } { ( - 2 ) - \frac { 1 } { 3 } } - \frac { 4 } { 9 } \cdot ( \frac { 2 } { 3 } ) ^ { - 2 } + ( 1 - \frac { 2 } { 2 } ) ^ { 3 } \cdot \frac { 8 } { 3 } =$$

Evaluate

$$-\frac{12}{7}\approx -1.714285714$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{-3+\frac{14}{3}}{-2-\frac{1}{3}}-\frac{4}{9}\times \left(\frac{2}{3}\right)^{-2}+\left(1-1\right)^{3}\times \frac{8}{3}$$

Add -3 and \frac{14}{3} to get \frac{5}{3}.

$$\frac{\frac{5}{3}}{-2-\frac{1}{3}}-\frac{4}{9}\times \left(\frac{2}{3}\right)^{-2}+\left(1-1\right)^{3}\times \frac{8}{3}$$

Subtract \frac{1}{3} from -2 to get -\frac{7}{3}.

$$\frac{\frac{5}{3}}{-\frac{7}{3}}-\frac{4}{9}\times \left(\frac{2}{3}\right)^{-2}+\left(1-1\right)^{3}\times \frac{8}{3}$$

Divide \frac{5}{3} by -\frac{7}{3} by multiplying \frac{5}{3} by the reciprocal of -\frac{7}{3}.

$$\frac{5}{3}\left(-\frac{3}{7}\right)-\frac{4}{9}\times \left(\frac{2}{3}\right)^{-2}+\left(1-1\right)^{3}\times \frac{8}{3}$$

Multiply \frac{5}{3} and -\frac{3}{7} to get -\frac{5}{7}.

$$-\frac{5}{7}-\frac{4}{9}\times \left(\frac{2}{3}\right)^{-2}+\left(1-1\right)^{3}\times \frac{8}{3}$$

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

$$-\frac{5}{7}-\frac{4}{9}\times \frac{9}{4}+\left(1-1\right)^{3}\times \frac{8}{3}$$

Multiply \frac{4}{9} and \frac{9}{4} to get 1.

$$-\frac{5}{7}-1+\left(1-1\right)^{3}\times \frac{8}{3}$$

Subtract 1 from -\frac{5}{7} to get -\frac{12}{7}.

$$-\frac{12}{7}+\left(1-1\right)^{3}\times \frac{8}{3}$$

Subtract 1 from 1 to get 0.

$$-\frac{12}{7}+0^{3}\times \frac{8}{3}$$

Calculate 0 to the power of 3 and get 0.

$$-\frac{12}{7}+0\times \frac{8}{3}$$

Multiply 0 and \frac{8}{3} to get 0.

$$-\frac{12}{7}+0$$

Add -\frac{12}{7} and 0 to get -\frac{12}{7}.

$$-\frac{12}{7}$$

Factor

$$-\frac{12}{7} = -1\frac{5}{7} = -1.7142857142857142$$