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

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

Evaluate

$$\frac{29}{30}\approx 0.966666667$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{3}{5} and \frac{3}{10} to fractions with denominator 10.

$$\frac{6}{10}-\frac{3}{10}+\frac{2}{3}$$

Since \frac{6}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-3}{10}+\frac{2}{3}$$

Subtract 3 from 6 to get 3.

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

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

$$\frac{9}{30}+\frac{20}{30}$$

Since \frac{9}{30} and \frac{20}{30} have the same denominator, add them by adding their numerators.

$$\frac{9+20}{30}$$

Add 9 and 20 to get 29.

$$\frac{29}{30}$$

Factor

$$\frac{29}{2 \cdot 3 \cdot 5} = 0.9666666666666667$$