Solve 8/-5+(4/-3)+1/3

$$\frac { 8 } { - 5 } + ( \frac { 4 } { - 3 } ) + \frac { 1 } { 3 }$$

Evaluate

$$-\frac{13}{5}=-2.6$$

Solution Steps

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

$$-\frac{8}{5}+\frac{4}{-3}+\frac{1}{3}$$

Fraction \frac{4}{-3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$-\frac{8}{5}-\frac{4}{3}+\frac{1}{3}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{8}{5} and \frac{4}{3} to fractions with denominator 15.

$$-\frac{24}{15}-\frac{20}{15}+\frac{1}{3}$$

Since -\frac{24}{15} and \frac{20}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-24-20}{15}+\frac{1}{3}$$

Subtract 20 from -24 to get -44.

$$-\frac{44}{15}+\frac{1}{3}$$

Least common multiple of 15 and 3 is 15. Convert -\frac{44}{15} and \frac{1}{3} to fractions with denominator 15.

$$-\frac{44}{15}+\frac{5}{15}$$

Since -\frac{44}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{-44+5}{15}$$

Add -44 and 5 to get -39.

$$\frac{-39}{15}$$

Reduce the fraction \frac{-39}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{13}{5}$$

Factor

$$-\frac{13}{5} = -2\frac{3}{5} = -2.6$$