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

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

Evaluate

$$-\frac{11}{42}\approx -0.261904762$$

Solution Steps

Least common multiple of 7 and 2 is 14. Convert -\frac{3}{7} and \frac{1}{2} to fractions with denominator 14.

$$-\frac{6}{14}+\frac{7}{14}-\frac{1}{3}$$

Since -\frac{6}{14} and \frac{7}{14} have the same denominator, add them by adding their numerators.

$$\frac{-6+7}{14}-\frac{1}{3}$$

Add -6 and 7 to get 1.

$$\frac{1}{14}-\frac{1}{3}$$

Least common multiple of 14 and 3 is 42. Convert \frac{1}{14} and \frac{1}{3} to fractions with denominator 42.

$$\frac{3}{42}-\frac{14}{42}$$

Since \frac{3}{42} and \frac{14}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-14}{42}$$

Subtract 14 from 3 to get -11.

$$-\frac{11}{42}$$

Factor

$$-\frac{11}{42} = -0.2619047619047619$$