Solve (-9/10)+(+1/15)

$$( - \frac { 9 } { 10 } ) + ( + \frac { 1 } { 15 } )$$

Evaluate

$$-\frac{5}{6}\approx -0.833333333$$

Solution Steps

Least common multiple of 10 and 15 is 30. Convert -\frac{9}{10} and \frac{1}{15} to fractions with denominator 30.

$$-\frac{27}{30}+\frac{2}{30}$$

Since -\frac{27}{30} and \frac{2}{30} have the same denominator, add them by adding their numerators.

$$\frac{-27+2}{30}$$

Add -27 and 2 to get -25.

$$\frac{-25}{30}$$

Reduce the fraction \frac{-25}{30} to lowest terms by extracting and canceling out 5.

$$-\frac{5}{6}$$

Factor

$$-\frac{5}{6} = -0.8333333333333334$$