Solve (3/2-4/5)^2+2/10

$$( \frac { 3 } { 2 } - \frac { 4 } { 5 } ) ^ { 2 } + \frac { 2 } { 10 }$$

Evaluate

$$\frac{69}{100}=0.69$$

Solution Steps

Subtract \frac{4}{5} from \frac{3}{2} to get \frac{7}{10}.

$$\left(\frac{7}{10}\right)^{2}+\frac{2}{10}$$

Calculate \frac{7}{10} to the power of 2 and get \frac{49}{100}.

$$\frac{49}{100}+\frac{2}{10}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{49}{100}+\frac{1}{5}$$

Add \frac{49}{100} and \frac{1}{5} to get \frac{69}{100}.

$$\frac{69}{100}$$

Factor

$$\frac{3 \cdot 23}{2 ^ {2} \cdot 5 ^ {2}} = 0.69$$