Solve -11/3-5/6=

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

Evaluate

$$-\frac{13}{6}\approx -2.166666667$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

$$-\frac{4}{3}-\frac{5}{6}$$

Least common multiple of 3 and 6 is 6. Convert -\frac{4}{3} and \frac{5}{6} to fractions with denominator 6.

$$-\frac{8}{6}-\frac{5}{6}$$

Since -\frac{8}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8-5}{6}$$

Subtract 5 from -8 to get -13.

$$-\frac{13}{6}$$

Factor

$$-\frac{13}{6} = -2\frac{1}{6} = -2.1666666666666665$$