Solve -5-[-1+(1-0.2*3/5)div(-2)^2]

$$- 5 - [ - 1 + ( 1 - 0.2 \times \frac { 3 } { 5 } ) \div ( - 2 ) ^ { 2 } ]$$

Evaluate

$$-4.22$$

Solution Steps

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{1}{5} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 3}{5\times 5}.

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

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

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

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

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

Subtract 3 from 25 to get 22.

$$-5-\left(-1+\frac{\frac{22}{25}}{\left(-2\right)^{2}}\right)$$

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

$$-5-\left(-1+\frac{\frac{22}{25}}{4}\right)$$

Express \frac{\frac{22}{25}}{4} as a single fraction.

$$-5-\left(-1+\frac{22}{25\times 4}\right)$$

Multiply 25 and 4 to get 100.

$$-5-\left(-1+\frac{22}{100}\right)$$

Reduce the fraction \frac{22}{100} to lowest terms by extracting and canceling out 2.

$$-5-\left(-1+\frac{11}{50}\right)$$

Convert -1 to fraction -\frac{50}{50}.

$$-5-\left(-\frac{50}{50}+\frac{11}{50}\right)$$

Since -\frac{50}{50} and \frac{11}{50} have the same denominator, add them by adding their numerators.

$$-5-\frac{-50+11}{50}$$

Add -50 and 11 to get -39.

$$-5-\left(-\frac{39}{50}\right)$$

The opposite of -\frac{39}{50} is \frac{39}{50}.

$$-5+\frac{39}{50}$$

Convert -5 to fraction -\frac{250}{50}.

$$-\frac{250}{50}+\frac{39}{50}$$

Since -\frac{250}{50} and \frac{39}{50} have the same denominator, add them by adding their numerators.

$$\frac{-250+39}{50}$$

Add -250 and 39 to get -211.

$$-\frac{211}{50}$$

Factor

$$-4.22$$