Solve -8/9-3/4-4/3

$$- \frac{ 8 }{ 9 } - \frac{ 3 }{ 4 } - \frac{ 4 }{ 3 }$$

Evaluate

$$-\frac{107}{36}\approx -2.972222222$$

Solution Steps

Least common multiple of 9 and 4 is 36. Convert -\frac{8}{9} and \frac{3}{4} to fractions with denominator 36.

$$-\frac{32}{36}-\frac{27}{36}-\frac{4}{3}$$

Since -\frac{32}{36} and \frac{27}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-32-27}{36}-\frac{4}{3}$$

Subtract 27 from -32 to get -59.

$$-\frac{59}{36}-\frac{4}{3}$$

Least common multiple of 36 and 3 is 36. Convert -\frac{59}{36} and \frac{4}{3} to fractions with denominator 36.

$$-\frac{59}{36}-\frac{48}{36}$$

Since -\frac{59}{36} and \frac{48}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-59-48}{36}$$

Subtract 48 from -59 to get -107.

$$-\frac{107}{36}$$

Factor

$$-\frac{107}{36} = -2\frac{35}{36} = -2.9722222222222223$$