Solve 3/4-2(5-14/3)^2+1/5*(-5/3)

$$\frac { 3 } { 4 } - 2 ( 5 - \frac { 14 } { 3 } ) ^ { 2 } + \frac { 1 } { 5 } \cdot ( - \frac { 5 } { 3 } )$$

Evaluate

$$\frac{7}{36}\approx 0.194444444$$

Solution Steps

Subtract \frac{14}{3} from 5 to get \frac{1}{3}.

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

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

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

Multiply 2 and \frac{1}{9} to get \frac{2}{9}.

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

Subtract \frac{2}{9} from \frac{3}{4} to get \frac{19}{36}.

$$\frac{19}{36}+\frac{1}{5}\left(-\frac{5}{3}\right)$$

Multiply \frac{1}{5} and -\frac{5}{3} to get -\frac{1}{3}.

$$\frac{19}{36}-\frac{1}{3}$$

Subtract \frac{1}{3} from \frac{19}{36} to get \frac{7}{36}.

$$\frac{7}{36}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 3 ^ {2}} = 0.19444444444444445$$