Solve 5/6-11/4+8/3

$$\frac{ 5 }{ 6 } - \frac{ 11 }{ 4 } + \frac{ 8 }{ 3 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

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

$$\frac{10}{12}-\frac{33}{12}+\frac{8}{3}$$

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

$$\frac{10-33}{12}+\frac{8}{3}$$

Subtract 33 from 10 to get -23.

$$-\frac{23}{12}+\frac{8}{3}$$

Least common multiple of 12 and 3 is 12. Convert -\frac{23}{12} and \frac{8}{3} to fractions with denominator 12.

$$-\frac{23}{12}+\frac{32}{12}$$

Since -\frac{23}{12} and \frac{32}{12} have the same denominator, add them by adding their numerators.

$$\frac{-23+32}{12}$$

Add -23 and 32 to get 9.

$$\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$