Solve -2/3-21/2

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

Evaluate

$$-\frac{19}{6}\approx -3.166666667$$

Solution Steps

Multiply 2 and 2 to get 4.

$$-\frac{2}{3}-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$-\frac{2}{3}-\frac{5}{2}$$

Least common multiple of 3 and 2 is 6. Convert -\frac{2}{3} and \frac{5}{2} to fractions with denominator 6.

$$-\frac{4}{6}-\frac{15}{6}$$

Since -\frac{4}{6} and \frac{15}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-15}{6}$$

Subtract 15 from -4 to get -19.

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

Factor

$$-\frac{19}{6} = -3\frac{1}{6} = -3.1666666666666665$$