Solve -31/3-5/6

$$- 3 \frac { 1 } { 3 } - \frac { 5 } { 6 }$$

Evaluate

$$-\frac{25}{6}\approx -4.166666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$-\frac{9+1}{3}-\frac{5}{6}$$

Add 9 and 1 to get 10.

$$-\frac{10}{3}-\frac{5}{6}$$

Least common multiple of 3 and 6 is 6. Convert -\frac{10}{3} and \frac{5}{6} to fractions with denominator 6.

$$-\frac{20}{6}-\frac{5}{6}$$

Since -\frac{20}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-20-5}{6}$$

Subtract 5 from -20 to get -25.

$$-\frac{25}{6}$$

Factor

$$-\frac{25}{6} = -4\frac{1}{6} = -4.166666666666667$$