Solve 2/3+-8/5+-7/2

$$\frac { 2 } { 3 } + \frac { - 8 } { 5 } + \frac { - 7 } { 2 }$$

Evaluate

$$-\frac{133}{30}\approx -4.433333333$$

Solution Steps

Fraction \frac{-8}{5} can be rewritten as -\frac{8}{5} by extracting the negative sign.

$$\frac{2}{3}-\frac{8}{5}+\frac{-7}{2}$$

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{8}{5} to fractions with denominator 15.

$$\frac{10}{15}-\frac{24}{15}+\frac{-7}{2}$$

Since \frac{10}{15} and \frac{24}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-24}{15}+\frac{-7}{2}$$

Subtract 24 from 10 to get -14.

$$-\frac{14}{15}+\frac{-7}{2}$$

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$-\frac{14}{15}-\frac{7}{2}$$

Least common multiple of 15 and 2 is 30. Convert -\frac{14}{15} and \frac{7}{2} to fractions with denominator 30.

$$-\frac{28}{30}-\frac{105}{30}$$

Since -\frac{28}{30} and \frac{105}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-28-105}{30}$$

Subtract 105 from -28 to get -133.

$$-\frac{133}{30}$$

Factor

$$-\frac{133}{30} = -4\frac{13}{30} = -4.433333333333334$$