Solve 2/3+4/5-5/6

$$\frac { 2 } { 3 } + \frac { 4 } { 5 } - \frac { 5 } { 6 }$$

Evaluate

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

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{4}{5} to fractions with denominator 15.

$$\frac{10}{15}+\frac{12}{15}-\frac{5}{6}$$

Since \frac{10}{15} and \frac{12}{15} have the same denominator, add them by adding their numerators.

$$\frac{10+12}{15}-\frac{5}{6}$$

Add 10 and 12 to get 22.

$$\frac{22}{15}-\frac{5}{6}$$

Least common multiple of 15 and 6 is 30. Convert \frac{22}{15} and \frac{5}{6} to fractions with denominator 30.

$$\frac{44}{30}-\frac{25}{30}$$

Since \frac{44}{30} and \frac{25}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44-25}{30}$$

Subtract 25 from 44 to get 19.

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

Factor

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