Solve -21/2+1/6

$$- 2 \frac { 1 } { 2 } + \frac { 1 } { 6 }$$

Evaluate

$$-\frac{7}{3}\approx -2.333333333$$

Solution Steps

Multiply 2 and 2 to get 4.

$$-\frac{4+1}{2}+\frac{1}{6}$$

Add 4 and 1 to get 5.

$$-\frac{5}{2}+\frac{1}{6}$$

Least common multiple of 2 and 6 is 6. Convert -\frac{5}{2} and \frac{1}{6} to fractions with denominator 6.

$$-\frac{15}{6}+\frac{1}{6}$$

Since -\frac{15}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{-15+1}{6}$$

Add -15 and 1 to get -14.

$$\frac{-14}{6}$$

Reduce the fraction \frac{-14}{6} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{7}{3} = -2\frac{1}{3} = -2.3333333333333335$$