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

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

Evaluate

$$\frac{11}{10}=1.1$$

Solution Steps

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

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

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

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

Add 2 and 1 to get 3.

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

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

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

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{3}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{6}{10}$$

Since \frac{5}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{10}$$

Add 5 and 6 to get 11.

$$\frac{11}{10}$$

Factor

$$\frac{11}{2 \cdot 5} = 1\frac{1}{10} = 1.1$$