Solve -31/12+1/6

$$- 3 \frac { 1 } { 12 } + \frac { 1 } { 6 }$$

Evaluate

$$-\frac{35}{12}\approx -2.916666667$$

Solution Steps

Multiply 3 and 12 to get 36.

$$-\frac{36+1}{12}+\frac{1}{6}$$

Add 36 and 1 to get 37.

$$-\frac{37}{12}+\frac{1}{6}$$

Least common multiple of 12 and 6 is 12. Convert -\frac{37}{12} and \frac{1}{6} to fractions with denominator 12.

$$-\frac{37}{12}+\frac{2}{12}$$

Since -\frac{37}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{-37+2}{12}$$

Add -37 and 2 to get -35.

$$-\frac{35}{12}$$

Factor

$$-\frac{35}{12} = -2\frac{11}{12} = -2.9166666666666665$$