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

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

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Least common multiple of 8 and 6 is 24. Convert \frac{11}{8} and \frac{5}{6} to fractions with denominator 24.

$$\frac{33}{24}+\frac{20}{24}-\frac{4}{3}$$

Since \frac{33}{24} and \frac{20}{24} have the same denominator, add them by adding their numerators.

$$\frac{33+20}{24}-\frac{4}{3}$$

Add 33 and 20 to get 53.

$$\frac{53}{24}-\frac{4}{3}$$

Least common multiple of 24 and 3 is 24. Convert \frac{53}{24} and \frac{4}{3} to fractions with denominator 24.

$$\frac{53}{24}-\frac{32}{24}$$

Since \frac{53}{24} and \frac{32}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{53-32}{24}$$

Subtract 32 from 53 to get 21.

$$\frac{21}{24}$$

Reduce the fraction \frac{21}{24} to lowest terms by extracting and canceling out 3.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$