Solve 4/3-(2/5+3/10)

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

Evaluate

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

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{3}{10} to fractions with denominator 10.

$$\frac{4}{3}-\left(\frac{4}{10}+\frac{3}{10}\right)$$

Since \frac{4}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

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

Add 4 and 3 to get 7.

$$\frac{4}{3}-\frac{7}{10}$$

Least common multiple of 3 and 10 is 30. Convert \frac{4}{3} and \frac{7}{10} to fractions with denominator 30.

$$\frac{40}{30}-\frac{21}{30}$$

Since \frac{40}{30} and \frac{21}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-21}{30}$$

Subtract 21 from 40 to get 19.

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

Factor

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