Solve 11/15+2/3+1/6

$$\frac { 11 } { 15 } + \frac { 2 } { 3 } + \frac { 1 } { 6 }$$

Evaluate

$$\frac{47}{30}\approx 1.566666667$$

Solution Steps

Least common multiple of 15 and 3 is 15. Convert \frac{11}{15} and \frac{2}{3} to fractions with denominator 15.

$$\frac{11}{15}+\frac{10}{15}+\frac{1}{6}$$

Since \frac{11}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{11+10}{15}+\frac{1}{6}$$

Add 11 and 10 to get 21.

$$\frac{21}{15}+\frac{1}{6}$$

Reduce the fraction \frac{21}{15} to lowest terms by extracting and canceling out 3.

$$\frac{7}{5}+\frac{1}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{7}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{42}{30}+\frac{5}{30}$$

Since \frac{42}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{42+5}{30}$$

Add 42 and 5 to get 47.

$$\frac{47}{30}$$

Factor

$$\frac{47}{2 \cdot 3 \cdot 5} = 1\frac{17}{30} = 1.5666666666666667$$