Solve (5/-4)+(-2/3)

$$( 5 / - 4 ) + ( - 2 / 3 )$$

Evaluate

$$-\frac{23}{12}\approx -1.916666667$$

Solution Steps

Fraction \frac{5}{-4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$-\frac{5}{4}-\frac{2}{3}$$

Least common multiple of 4 and 3 is 12. Convert -\frac{5}{4} and \frac{2}{3} to fractions with denominator 12.

$$-\frac{15}{12}-\frac{8}{12}$$

Since -\frac{15}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-15-8}{12}$$

Subtract 8 from -15 to get -23.

$$-\frac{23}{12}$$

Factor

$$-\frac{23}{12} = -1\frac{11}{12} = -1.9166666666666667$$