Solve 6/8-3/4+4/5-1/6

$$\frac{ 6 }{ 8 } - \frac{ 3 }{ 4 } + \frac{ 4 }{ 5 } - \frac{ 1 }{ 6 }$$

Evaluate

$$\frac{19}{30}\approx 0.633333333$$

Solution Steps

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}-\frac{3}{4}+\frac{4}{5}-\frac{1}{6}$$

Subtract \frac{3}{4} from \frac{3}{4} to get 0.

$$\frac{4}{5}-\frac{1}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{4}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{24}{30}-\frac{5}{30}$$

Since \frac{24}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-5}{30}$$

Subtract 5 from 24 to get 19.

$$\frac{19}{30}$$

Factor

$$\frac{19}{2 \cdot 3 \cdot 5} = 0.6333333333333333$$