Solve -1/2+2/5-7/3

$$- \frac { 1 } { 2 } + \frac { 2 } { 5 } - \frac { 7 } { 3 }$$

Evaluate

$$-\frac{73}{30}\approx -2.433333333$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert -\frac{1}{2} and \frac{2}{5} to fractions with denominator 10.

$$-\frac{5}{10}+\frac{4}{10}-\frac{7}{3}$$

Since -\frac{5}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{-5+4}{10}-\frac{7}{3}$$

Add -5 and 4 to get -1.

$$-\frac{1}{10}-\frac{7}{3}$$

Least common multiple of 10 and 3 is 30. Convert -\frac{1}{10} and \frac{7}{3} to fractions with denominator 30.

$$-\frac{3}{30}-\frac{70}{30}$$

Since -\frac{3}{30} and \frac{70}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-70}{30}$$

Subtract 70 from -3 to get -73.

$$-\frac{73}{30}$$

Factor

$$-\frac{73}{30} = -2\frac{13}{30} = -2.433333333333333$$