Solve (-2/15)+(+1/3)-(-3/10)

$$( - \frac { 2 } { 15 } ) + ( + \frac { 1 } { 3 } ) - ( - \frac { 3 } { 10 } )$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Least common multiple of 15 and 3 is 15. Convert -\frac{2}{15} and \frac{1}{3} to fractions with denominator 15.

$$-\frac{2}{15}+\frac{5}{15}-\left(-\frac{3}{10}\right)$$

Since -\frac{2}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{-2+5}{15}-\left(-\frac{3}{10}\right)$$

Add -2 and 5 to get 3.

$$\frac{3}{15}-\left(-\frac{3}{10}\right)$$

Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.

$$\frac{1}{5}-\left(-\frac{3}{10}\right)$$

The opposite of -\frac{3}{10} is \frac{3}{10}.

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

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{3}{10} to fractions with denominator 10.

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

Since \frac{2}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

$$\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$