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

$$5 \times ( - \frac { 1 } { 5 } ) ^ { 2 } - 3 \div ( - 5 ) ^ { 2 } + 5 \times ( - \frac { 1 } { 5 } )$$

Evaluate

$$-\frac{23}{25}=-0.92$$

Solution Steps

Calculate -\frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$5\times \frac{1}{25}-\frac{3}{\left(-5\right)^{2}}+5\left(-\frac{1}{5}\right)$$

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

$$\frac{5}{25}-\frac{3}{\left(-5\right)^{2}}+5\left(-\frac{1}{5}\right)$$

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

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

Calculate -5 to the power of 2 and get 25.

$$\frac{1}{5}-\frac{3}{25}+5\left(-\frac{1}{5}\right)$$

Least common multiple of 5 and 25 is 25. Convert \frac{1}{5} and \frac{3}{25} to fractions with denominator 25.

$$\frac{5}{25}-\frac{3}{25}+5\left(-\frac{1}{5}\right)$$

Since \frac{5}{25} and \frac{3}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{25}+5\left(-\frac{1}{5}\right)$$

Subtract 3 from 5 to get 2.

$$\frac{2}{25}+5\left(-\frac{1}{5}\right)$$

Cancel out 5 and 5.

$$\frac{2}{25}-1$$

Convert 1 to fraction \frac{25}{25}.

$$\frac{2}{25}-\frac{25}{25}$$

Since \frac{2}{25} and \frac{25}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-25}{25}$$

Subtract 25 from 2 to get -23.

$$-\frac{23}{25}$$

Factor

$$-\frac{23}{25} = -0.92$$