Solve 5/6+4/15-1/3

$$\frac { 5 } { 6 } + \frac { 4 } { 15 } - \frac { 1 } { 3 }$$

Evaluate

$$\frac{23}{30}\approx 0.766666667$$

Solution Steps

Least common multiple of 6 and 15 is 30. Convert \frac{5}{6} and \frac{4}{15} to fractions with denominator 30.

$$\frac{25}{30}+\frac{8}{30}-\frac{1}{3}$$

Since \frac{25}{30} and \frac{8}{30} have the same denominator, add them by adding their numerators.

$$\frac{25+8}{30}-\frac{1}{3}$$

Add 25 and 8 to get 33.

$$\frac{33}{30}-\frac{1}{3}$$

Reduce the fraction \frac{33}{30} to lowest terms by extracting and canceling out 3.

$$\frac{11}{10}-\frac{1}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{11}{10} and \frac{1}{3} to fractions with denominator 30.

$$\frac{33}{30}-\frac{10}{30}$$

Since \frac{33}{30} and \frac{10}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-10}{30}$$

Subtract 10 from 33 to get 23.

$$\frac{23}{30}$$

Factor

$$\frac{23}{2 \cdot 3 \cdot 5} = 0.7666666666666667$$