Solve 1/3-2-3/2?

$$\frac { 1 } { 3 } - 2 - \frac { 3 } { 2 } ?$$

Evaluate

$$-\frac{19}{6}\approx -3.166666667$$

Solution Steps

Convert 2 to fraction \frac{6}{3}.

$$\frac{1}{3}-\frac{6}{3}-\frac{3}{2}$$

Since \frac{1}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-6}{3}-\frac{3}{2}$$

Subtract 6 from 1 to get -5.

$$-\frac{5}{3}-\frac{3}{2}$$

Least common multiple of 3 and 2 is 6. Convert -\frac{5}{3} and \frac{3}{2} to fractions with denominator 6.

$$-\frac{10}{6}-\frac{9}{6}$$

Since -\frac{10}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-10-9}{6}$$

Subtract 9 from -10 to get -19.

$$-\frac{19}{6}$$

Factor

$$-\frac{19}{6} = -3\frac{1}{6} = -3.1666666666666665$$