Solve 2/5+4/15-2/5

$$\frac { 2 } { 5 } + \frac { 4 } { 15 } - \frac { 2 } { 5 }$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Least common multiple of 5 and 15 is 15. Convert \frac{2}{5} and \frac{4}{15} to fractions with denominator 15.

$$\frac{6}{15}+\frac{4}{15}-\frac{2}{5}$$

Since \frac{6}{15} and \frac{4}{15} have the same denominator, add them by adding their numerators.

$$\frac{6+4}{15}-\frac{2}{5}$$

Add 6 and 4 to get 10.

$$\frac{10}{15}-\frac{2}{5}$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

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

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

$$\frac{10}{15}-\frac{6}{15}$$

Since \frac{10}{15} and \frac{6}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-6}{15}$$

Subtract 6 from 10 to get 4.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$