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

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

Evaluate

$$-\frac{41}{30}\approx -1.366666667$$

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 -27.

$$-\frac{27}{10}+\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$-\frac{27}{10}+\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$-\frac{27}{10}+\frac{4}{3}$$

Least common multiple of 10 and 3 is 30. Convert -\frac{27}{10} and \frac{4}{3} to fractions with denominator 30.

$$-\frac{81}{30}+\frac{40}{30}$$

Since -\frac{81}{30} and \frac{40}{30} have the same denominator, add them by adding their numerators.

$$\frac{-81+40}{30}$$

Add -81 and 40 to get -41.

$$-\frac{41}{30}$$

Factor

$$-\frac{41}{30} = -1\frac{11}{30} = -1.3666666666666667$$