Solve -31/6-(-11/4)

$$- 3 \frac { 1 } { 6 } - ( - 1 \frac { 1 } { 4 } )$$

Evaluate

$$-\frac{23}{12}\approx -1.916666667$$

Solution Steps

Multiply 3 and 6 to get 18.

$$-\frac{18+1}{6}-\left(-\frac{1\times 4+1}{4}\right)$$

Add 18 and 1 to get 19.

$$-\frac{19}{6}-\left(-\frac{1\times 4+1}{4}\right)$$

Multiply 1 and 4 to get 4.

$$-\frac{19}{6}-\left(-\frac{4+1}{4}\right)$$

Add 4 and 1 to get 5.

$$-\frac{19}{6}-\left(-\frac{5}{4}\right)$$

The opposite of -\frac{5}{4} is \frac{5}{4}.

$$-\frac{19}{6}+\frac{5}{4}$$

Least common multiple of 6 and 4 is 12. Convert -\frac{19}{6} and \frac{5}{4} to fractions with denominator 12.

$$-\frac{38}{12}+\frac{15}{12}$$

Since -\frac{38}{12} and \frac{15}{12} have the same denominator, add them by adding their numerators.

$$\frac{-38+15}{12}$$

Add -38 and 15 to get -23.

$$-\frac{23}{12}$$

Factor

$$-\frac{23}{12} = -1\frac{11}{12} = -1.9166666666666667$$