Solve -3+11/2-2/3

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

Evaluate

$$-\frac{13}{6}\approx -2.166666667$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

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

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

Since -\frac{6}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

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

Add -6 and 3 to get -3.

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

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

$$-\frac{9}{6}-\frac{4}{6}$$

Since -\frac{9}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-4}{6}$$

Subtract 4 from -9 to get -13.

$$-\frac{13}{6}$$

Factor

$$-\frac{13}{6} = -2\frac{1}{6} = -2.1666666666666665$$