Solve (-2/5)+(-3/10)+(1/2)+(+4/5)

$$(- \frac{ 2 }{ 5 } )+(- \frac{ 3 }{ 10 } )+( \frac{ 1 }{ 2 } )+(+ \frac{ 4 }{ 5 } )$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert -\frac{2}{5} and \frac{3}{10} to fractions with denominator 10.

$$-\frac{4}{10}-\frac{3}{10}+\frac{1}{2}+\frac{4}{5}$$

Since -\frac{4}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-3}{10}+\frac{1}{2}+\frac{4}{5}$$

Subtract 3 from -4 to get -7.

$$-\frac{7}{10}+\frac{1}{2}+\frac{4}{5}$$

Least common multiple of 10 and 2 is 10. Convert -\frac{7}{10} and \frac{1}{2} to fractions with denominator 10.

$$-\frac{7}{10}+\frac{5}{10}+\frac{4}{5}$$

Since -\frac{7}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{-7+5}{10}+\frac{4}{5}$$

Add -7 and 5 to get -2.

$$\frac{-2}{10}+\frac{4}{5}$$

Reduce the fraction \frac{-2}{10} to lowest terms by extracting and canceling out 2.

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

Since -\frac{1}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

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

Add -1 and 4 to get 3.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$