Solve -1/2-72/3

$$- \frac { 1 } { 2 } - 7 \frac { 2 } { 3 }$$

Evaluate

$$-\frac{49}{6}\approx -8.166666667$$

Solution Steps

Multiply 7 and 3 to get 21.

$$-\frac{1}{2}-\frac{21+2}{3}$$

Add 21 and 2 to get 23.

$$-\frac{1}{2}-\frac{23}{3}$$

Least common multiple of 2 and 3 is 6. Convert -\frac{1}{2} and \frac{23}{3} to fractions with denominator 6.

$$-\frac{3}{6}-\frac{46}{6}$$

Since -\frac{3}{6} and \frac{46}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-46}{6}$$

Subtract 46 from -3 to get -49.

$$-\frac{49}{6}$$

Factor

$$-\frac{49}{6} = -8\frac{1}{6} = -8.166666666666666$$