Solve 4/5-3/10+2/15=

$$\frac { 4 } { 5 } - \frac { 3 } { 10 } + \frac { 2 } { 15 } =$$

Evaluate

$$\frac{19}{30}\approx 0.633333333$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{4}{5} and \frac{3}{10} to fractions with denominator 10.

$$\frac{8}{10}-\frac{3}{10}+\frac{2}{15}$$

Since \frac{8}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{10}+\frac{2}{15}$$

Subtract 3 from 8 to get 5.

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

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

$$\frac{1}{2}+\frac{2}{15}$$

Least common multiple of 2 and 15 is 30. Convert \frac{1}{2} and \frac{2}{15} to fractions with denominator 30.

$$\frac{15}{30}+\frac{4}{30}$$

Since \frac{15}{30} and \frac{4}{30} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{30}$$

Add 15 and 4 to get 19.

$$\frac{19}{30}$$

Factor

$$\frac{19}{2 \cdot 3 \cdot 5} = 0.6333333333333333$$