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

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

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

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

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

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

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

Subtract 3 from 10 to get 7.

$$\frac{7}{15}+\frac{1}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{7}{15} and \frac{1}{3} to fractions with denominator 15.

$$\frac{7}{15}+\frac{5}{15}$$

Since \frac{7}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{7+5}{15}$$

Add 7 and 5 to get 12.

$$\frac{12}{15}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$