Solve -1/5--1/2=

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

Evaluate

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

Solution Steps

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

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

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

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

The opposite of -\frac{1}{2} is \frac{1}{2}.

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

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

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

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

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

Add -2 and 5 to get 3.

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

Factor

$$\frac{3}{2 \cdot 5} = 0.3$$