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

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

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

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

$$\frac{10}{15}+\frac{3}{15}-\frac{2}{3}+\frac{1}{5}$$

Since \frac{10}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{15}-\frac{2}{3}+\frac{1}{5}$$

Add 10 and 3 to get 13.

$$\frac{13}{15}-\frac{2}{3}+\frac{1}{5}$$

Least common multiple of 15 and 3 is 15. Convert \frac{13}{15} and \frac{2}{3} to fractions with denominator 15.

$$\frac{13}{15}-\frac{10}{15}+\frac{1}{5}$$

Since \frac{13}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-10}{15}+\frac{1}{5}$$

Subtract 10 from 13 to get 3.

$$\frac{3}{15}+\frac{1}{5}$$

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

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

Since \frac{1}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

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

Add 1 and 1 to get 2.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$