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

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

Evaluate

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

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{1}{3} and \frac{1}{6} to fractions with denominator 6.

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

Since \frac{2}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

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

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}+\frac{2}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{2}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{4}{10}$$

Since \frac{5}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{10}$$

Add 5 and 4 to get 9.

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

Factor

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