Solve -5/9-(-1/15)

$$- \frac { 5 } { 9 } - ( - \frac { 1 } { 15 } )$$

Evaluate

$$-\frac{22}{45}\approx -0.488888889$$

Solution Steps

The opposite of -\frac{1}{15} is \frac{1}{15}.

$$-\frac{5}{9}+\frac{1}{15}$$

Least common multiple of 9 and 15 is 45. Convert -\frac{5}{9} and \frac{1}{15} to fractions with denominator 45.

$$-\frac{25}{45}+\frac{3}{45}$$

Since -\frac{25}{45} and \frac{3}{45} have the same denominator, add them by adding their numerators.

$$\frac{-25+3}{45}$$

Add -25 and 3 to get -22.

$$-\frac{22}{45}$$

Factor

$$-\frac{22}{45} = -0.4888888888888889$$