Solve 4/5-4/15+1/10

$$\frac { 4 } { 5 } - \frac { 4 } { 15 } + \frac { 1 } { 10 }$$

Evaluate

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

Solution Steps

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

$$\frac{12}{15}-\frac{4}{15}+\frac{1}{10}$$

Since \frac{12}{15} and \frac{4}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-4}{15}+\frac{1}{10}$$

Subtract 4 from 12 to get 8.

$$\frac{8}{15}+\frac{1}{10}$$

Least common multiple of 15 and 10 is 30. Convert \frac{8}{15} and \frac{1}{10} to fractions with denominator 30.

$$\frac{16}{30}+\frac{3}{30}$$

Since \frac{16}{30} and \frac{3}{30} have the same denominator, add them by adding their numerators.

$$\frac{16+3}{30}$$

Add 16 and 3 to get 19.

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

Factor

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