Solve 5/6-2/5+8/3

$$\frac { 5 } { 6 } - \frac { 2 } { 5 } + \frac { 8 } { 3 }$$

Evaluate

$$\frac{31}{10}=3.1$$

Solution Steps

Least common multiple of 6 and 5 is 30. Convert \frac{5}{6} and \frac{2}{5} to fractions with denominator 30.

$$\frac{25}{30}-\frac{12}{30}+\frac{8}{3}$$

Since \frac{25}{30} and \frac{12}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-12}{30}+\frac{8}{3}$$

Subtract 12 from 25 to get 13.

$$\frac{13}{30}+\frac{8}{3}$$

Least common multiple of 30 and 3 is 30. Convert \frac{13}{30} and \frac{8}{3} to fractions with denominator 30.

$$\frac{13}{30}+\frac{80}{30}$$

Since \frac{13}{30} and \frac{80}{30} have the same denominator, add them by adding their numerators.

$$\frac{13+80}{30}$$

Add 13 and 80 to get 93.

$$\frac{93}{30}$$

Reduce the fraction \frac{93}{30} to lowest terms by extracting and canceling out 3.

$$\frac{31}{10}$$

Factor

$$\frac{31}{2 \cdot 5} = 3\frac{1}{10} = 3.1$$