Solve 2/5+5/10-2/3

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

Evaluate

$$\frac{7}{30}\approx 0.233333333$$

Solution Steps

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

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

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

$$\frac{4}{10}+\frac{5}{10}-\frac{2}{3}$$

Since \frac{4}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{4+5}{10}-\frac{2}{3}$$

Add 4 and 5 to get 9.

$$\frac{9}{10}-\frac{2}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{9}{10} and \frac{2}{3} to fractions with denominator 30.

$$\frac{27}{30}-\frac{20}{30}$$

Since \frac{27}{30} and \frac{20}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-20}{30}$$

Subtract 20 from 27 to get 7.

$$\frac{7}{30}$$

Factor

$$\frac{7}{2 \cdot 3 \cdot 5} = 0.23333333333333334$$