Solve (3/5-1/10)^2-1/5:(2/5)^2

$$( \frac { 3 } { 5 } - \frac { 1 } { 10 } ) ^ { 2 } - \frac { 1 } { 5 } : ( \frac { 2 } { 5 } ) ^ { 2 }$$

Evaluate

$$-1$$

Solution Steps

Subtract \frac{1}{10} from \frac{3}{5} to get \frac{1}{2}.

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

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

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

Calculate \frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$\frac{1}{4}-\frac{\frac{1}{5}}{\frac{4}{25}}$$

Divide \frac{1}{5} by \frac{4}{25} by multiplying \frac{1}{5} by the reciprocal of \frac{4}{25}.

$$\frac{1}{4}-\frac{1}{5}\times \frac{25}{4}$$

Multiply \frac{1}{5} and \frac{25}{4} to get \frac{5}{4}.

$$\frac{1}{4}-\frac{5}{4}$$

Subtract \frac{5}{4} from \frac{1}{4} to get -1.

$$-1$$

Factor

$$-1$$