Solve 1/10-1/2-1/5

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

Evaluate

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

Solution Steps

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

$$\frac{1}{10}-\frac{5}{10}-\frac{1}{5}$$

Since \frac{1}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-5}{10}-\frac{1}{5}$$

Subtract 5 from 1 to get -4.

$$\frac{-4}{10}-\frac{1}{5}$$

Reduce the fraction \frac{-4}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{2}{5}-\frac{1}{5}$$

Since -\frac{2}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-1}{5}$$

Subtract 1 from -2 to get -3.

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

Factor

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