Solve -1/2--1/5=

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

Evaluate

$$-\frac{3}{10}=-0.3$$

Solution Steps

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$-\frac{1}{2}-\left(-\frac{1}{5}\right)$$

The opposite of -\frac{1}{5} is \frac{1}{5}.

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

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

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

Since -\frac{5}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

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

Add -5 and 2 to get -3.

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

Factor

$$-\frac{3}{10} = -0.3$$