Solve -31/6-172/3

$$- 3 \frac { 1 } { 6 } - 17 \frac { 2 } { 3 }$$

Evaluate

$$-\frac{125}{6}\approx -20.833333333$$

Solution Steps

Multiply 3 and 6 to get 18.

$$-\frac{18+1}{6}-\frac{17\times 3+2}{3}$$

Add 18 and 1 to get 19.

$$-\frac{19}{6}-\frac{17\times 3+2}{3}$$

Multiply 17 and 3 to get 51.

$$-\frac{19}{6}-\frac{51+2}{3}$$

Add 51 and 2 to get 53.

$$-\frac{19}{6}-\frac{53}{3}$$

Least common multiple of 6 and 3 is 6. Convert -\frac{19}{6} and \frac{53}{3} to fractions with denominator 6.

$$-\frac{19}{6}-\frac{106}{6}$$

Since -\frac{19}{6} and \frac{106}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-19-106}{6}$$

Subtract 106 from -19 to get -125.

$$-\frac{125}{6}$$

Factor

$$-\frac{125}{6} = -20\frac{5}{6} = -20.833333333333332$$