Solve -35/6-11/3

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

Evaluate

$$-\frac{31}{6}\approx -5.166666667$$

Solution Steps

Multiply 3 and 6 to get 18.

$$-\frac{18+5}{6}-\frac{1\times 3+1}{3}$$

Add 18 and 5 to get 23.

$$-\frac{23}{6}-\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$-\frac{23}{6}-\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$-\frac{23}{6}-\frac{4}{3}$$

Least common multiple of 6 and 3 is 6. Convert -\frac{23}{6} and \frac{4}{3} to fractions with denominator 6.

$$-\frac{23}{6}-\frac{8}{6}$$

Since -\frac{23}{6} and \frac{8}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-23-8}{6}$$

Subtract 8 from -23 to get -31.

$$-\frac{31}{6}$$

Factor

$$-\frac{31}{6} = -5\frac{1}{6} = -5.166666666666667$$