Solve 1/3+2/5+1/6=

$$\frac{ 1 }{ 3 } + \frac{ 2 }{ 5 } + \frac{ 1 }{ 6 } =$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{2}{5} to fractions with denominator 15.

$$\frac{5}{15}+\frac{6}{15}+\frac{1}{6}$$

Since \frac{5}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{15}+\frac{1}{6}$$

Add 5 and 6 to get 11.

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

Least common multiple of 15 and 6 is 30. Convert \frac{11}{15} and \frac{1}{6} to fractions with denominator 30.

$$\frac{22}{30}+\frac{5}{30}$$

Since \frac{22}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{22+5}{30}$$

Add 22 and 5 to get 27.

$$\frac{27}{30}$$

Reduce the fraction \frac{27}{30} to lowest terms by extracting and canceling out 3.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$