Solve (9/-4)-(-2/3)

$$( 9 / - 4 ) - ( - 2 / 3 )$$

Evaluate

$$-\frac{19}{12}\approx -1.583333333$$

Solution Steps

Fraction \frac{9}{-4} can be rewritten as -\frac{9}{4} by extracting the negative sign.

$$-\frac{9}{4}-\left(-\frac{2}{3}\right)$$

The opposite of -\frac{2}{3} is \frac{2}{3}.

$$-\frac{9}{4}+\frac{2}{3}$$

Least common multiple of 4 and 3 is 12. Convert -\frac{9}{4} and \frac{2}{3} to fractions with denominator 12.

$$-\frac{27}{12}+\frac{8}{12}$$

Since -\frac{27}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{-27+8}{12}$$

Add -27 and 8 to get -19.

$$-\frac{19}{12}$$

Factor

$$-\frac{19}{12} = -1\frac{7}{12} = -1.5833333333333333$$