Solve -2^2-[-0.25+(1-1/5)div(-2)^2]

$$- 2 ^ { 2 } - [ - 0.25 + ( 1 - \frac { 1 } { 5 } ) \div ( - 2 ) ^ { 2 } ]$$

Evaluate

$$-3.95$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$-4-\left(-0.25+\frac{1-\frac{1}{5}}{\left(-2\right)^{2}}\right)$$

Convert 1 to fraction \frac{5}{5}.

$$-4-\left(-0.25+\frac{\frac{5}{5}-\frac{1}{5}}{\left(-2\right)^{2}}\right)$$

Since \frac{5}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$-4-\left(-0.25+\frac{\frac{5-1}{5}}{\left(-2\right)^{2}}\right)$$

Subtract 1 from 5 to get 4.

$$-4-\left(-0.25+\frac{\frac{4}{5}}{\left(-2\right)^{2}}\right)$$

Calculate -2 to the power of 2 and get 4.

$$-4-\left(-0.25+\frac{\frac{4}{5}}{4}\right)$$

Express \frac{\frac{4}{5}}{4} as a single fraction.

$$-4-\left(-0.25+\frac{4}{5\times 4}\right)$$

Cancel out 4 in both numerator and denominator.

$$-4-\left(-0.25+\frac{1}{5}\right)$$

Convert decimal number -0.25 to fraction -\frac{25}{100}. Reduce the fraction -\frac{25}{100} to lowest terms by extracting and canceling out 25.

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

Least common multiple of 4 and 5 is 20. Convert -\frac{1}{4} and \frac{1}{5} to fractions with denominator 20.

$$-4-\left(-\frac{5}{20}+\frac{4}{20}\right)$$

Since -\frac{5}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$-4-\frac{-5+4}{20}$$

Add -5 and 4 to get -1.

$$-4-\left(-\frac{1}{20}\right)$$

The opposite of -\frac{1}{20} is \frac{1}{20}.

$$-4+\frac{1}{20}$$

Convert -4 to fraction -\frac{80}{20}.

$$-\frac{80}{20}+\frac{1}{20}$$

Since -\frac{80}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$\frac{-80+1}{20}$$

Add -80 and 1 to get -79.

$$-\frac{79}{20}$$

Factor

$$-3.95$$