Solve -23/4-5/6-(-8/3)

$$- 2 \frac { 3 } { 4 } - \frac { 5 } { 6 } - ( - \frac { 8 } { 3 } )$$

Evaluate

$$-\frac{11}{12}\approx -0.916666667$$

Solution Steps

Multiply 2 and 4 to get 8.

$$-\frac{8+3}{4}-\frac{5}{6}-\left(-\frac{8}{3}\right)$$

Add 8 and 3 to get 11.

$$-\frac{11}{4}-\frac{5}{6}-\left(-\frac{8}{3}\right)$$

Least common multiple of 4 and 6 is 12. Convert -\frac{11}{4} and \frac{5}{6} to fractions with denominator 12.

$$-\frac{33}{12}-\frac{10}{12}-\left(-\frac{8}{3}\right)$$

Since -\frac{33}{12} and \frac{10}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-33-10}{12}-\left(-\frac{8}{3}\right)$$

Subtract 10 from -33 to get -43.

$$-\frac{43}{12}-\left(-\frac{8}{3}\right)$$

The opposite of -\frac{8}{3} is \frac{8}{3}.

$$-\frac{43}{12}+\frac{8}{3}$$

Least common multiple of 12 and 3 is 12. Convert -\frac{43}{12} and \frac{8}{3} to fractions with denominator 12.

$$-\frac{43}{12}+\frac{32}{12}$$

Since -\frac{43}{12} and \frac{32}{12} have the same denominator, add them by adding their numerators.

$$\frac{-43+32}{12}$$

Add -43 and 32 to get -11.

$$-\frac{11}{12}$$

Factor

$$-\frac{11}{12} = -0.9166666666666666$$