Solve -8/5+0.4+-52/5+-0.25

$$- \frac{ 8 }{ 5 } +0.4+-5 \frac{ 2 }{ 5 } +-0.25$$

Evaluate

$$-6.85$$

Solution Steps

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{8}{5}+\frac{2}{5}-\frac{5\times 5+2}{5}-0.25$$

Since -\frac{8}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{-8+2}{5}-\frac{5\times 5+2}{5}-0.25$$

Add -8 and 2 to get -6.

$$-\frac{6}{5}-\frac{5\times 5+2}{5}-0.25$$

Multiply 5 and 5 to get 25.

$$-\frac{6}{5}-\frac{25+2}{5}-0.25$$

Add 25 and 2 to get 27.

$$-\frac{6}{5}-\frac{27}{5}-0.25$$

Since -\frac{6}{5} and \frac{27}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-6-27}{5}-0.25$$

Subtract 27 from -6 to get -33.

$$-\frac{33}{5}-0.25$$

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.

$$-\frac{33}{5}-\frac{1}{4}$$

Least common multiple of 5 and 4 is 20. Convert -\frac{33}{5} and \frac{1}{4} to fractions with denominator 20.

$$-\frac{132}{20}-\frac{5}{20}$$

Since -\frac{132}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-132-5}{20}$$

Subtract 5 from -132 to get -137.

$$-\frac{137}{20}$$

Factor

$$-6.85$$