Solve -31/3+1/2

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

Evaluate

$$-\frac{17}{6}\approx -2.833333333$$

Solution Steps

Multiply 3 and 3 to get 9.

$$-\frac{9+1}{3}+\frac{1}{2}$$

Add 9 and 1 to get 10.

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

Least common multiple of 3 and 2 is 6. Convert -\frac{10}{3} and \frac{1}{2} to fractions with denominator 6.

$$-\frac{20}{6}+\frac{3}{6}$$

Since -\frac{20}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{-20+3}{6}$$

Add -20 and 3 to get -17.

$$-\frac{17}{6}$$

Factor

$$-\frac{17}{6} = -2\frac{5}{6} = -2.8333333333333335$$