Solve 2/5-23/10+11/3=

$$\frac { 2 } { 5 } - 2 \frac { 3 } { 10 } + 1 \frac { 1 } { 3 } =$$

Evaluate

$$-\frac{17}{30}\approx -0.566666667$$

Solution Steps

Multiply 2 and 10 to get 20.

$$\frac{2}{5}-\frac{20+3}{10}+\frac{1\times 3+1}{3}$$

Add 20 and 3 to get 23.

$$\frac{2}{5}-\frac{23}{10}+\frac{1\times 3+1}{3}$$

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{23}{10} to fractions with denominator 10.

$$\frac{4}{10}-\frac{23}{10}+\frac{1\times 3+1}{3}$$

Since \frac{4}{10} and \frac{23}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-23}{10}+\frac{1\times 3+1}{3}$$

Subtract 23 from 4 to get -19.

$$-\frac{19}{10}+\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$-\frac{19}{10}+\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$-\frac{19}{10}+\frac{4}{3}$$

Least common multiple of 10 and 3 is 30. Convert -\frac{19}{10} and \frac{4}{3} to fractions with denominator 30.

$$-\frac{57}{30}+\frac{40}{30}$$

Since -\frac{57}{30} and \frac{40}{30} have the same denominator, add them by adding their numerators.

$$\frac{-57+40}{30}$$

Add -57 and 40 to get -17.

$$-\frac{17}{30}$$

Factor

$$-\frac{17}{30} = -0.5666666666666667$$