Solve -4/5-3/10+2/15=

$$- \frac { 4 } { 5 } - \frac { 3 } { 10 } + \frac { 2 } { 15 } =$$

Evaluate

$$-\frac{29}{30}\approx -0.966666667$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert -\frac{4}{5} and \frac{3}{10} to fractions with denominator 10.

$$-\frac{8}{10}-\frac{3}{10}+\frac{2}{15}$$

Since -\frac{8}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8-3}{10}+\frac{2}{15}$$

Subtract 3 from -8 to get -11.

$$-\frac{11}{10}+\frac{2}{15}$$

Least common multiple of 10 and 15 is 30. Convert -\frac{11}{10} and \frac{2}{15} to fractions with denominator 30.

$$-\frac{33}{30}+\frac{4}{30}$$

Since -\frac{33}{30} and \frac{4}{30} have the same denominator, add them by adding their numerators.

$$\frac{-33+4}{30}$$

Add -33 and 4 to get -29.

$$-\frac{29}{30}$$

Factor

$$-\frac{29}{30} = -0.9666666666666667$$