Solve 2/5-1/2+1/5-3/2=

$$\frac{ 2 }{ 5 } - \frac{ 1 }{ 2 } + \frac{ 1 }{ 5 } - \frac{ 3 }{ 2 } =$$

Evaluate

$$-\frac{7}{5}=-1.4$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{2}{5} and \frac{1}{2} to fractions with denominator 10.

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

Since \frac{4}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 5 from 4 to get -1.

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

Least common multiple of 10 and 5 is 10. Convert -\frac{1}{10} and \frac{1}{5} to fractions with denominator 10.

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

Since -\frac{1}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

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

Add -1 and 2 to get 1.

$$\frac{1}{10}-\frac{3}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{1}{10} and \frac{3}{2} to fractions with denominator 10.

$$\frac{1}{10}-\frac{15}{10}$$

Since \frac{1}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-15}{10}$$

Subtract 15 from 1 to get -14.

$$\frac{-14}{10}$$

Reduce the fraction \frac{-14}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{7}{5}$$

Factor

$$-\frac{7}{5} = -1\frac{2}{5} = -1.4$$