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

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

Evaluate

$$\frac{14}{15}\approx 0.933333333$$

Solution Steps

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

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

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

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

Add 6 and 5 to get 11.

$$\frac{11}{15}+\frac{1}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{11}{15} and \frac{1}{5} to fractions with denominator 15.

$$\frac{11}{15}+\frac{3}{15}$$

Since \frac{11}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.

$$\frac{11+3}{15}$$

Add 11 and 3 to get 14.

$$\frac{14}{15}$$

Factor

$$\frac{2 \cdot 7}{3 \cdot 5} = 0.9333333333333333$$