Solve -1/6-7/2

$$- \frac { 1 } { 6 } - \frac { 7 } { 2 }$$

Evaluate

$$-\frac{11}{3}\approx -3.666666667$$

Solution Steps

Least common multiple of 6 and 2 is 6. Convert -\frac{1}{6} and \frac{7}{2} to fractions with denominator 6.

$$-\frac{1}{6}-\frac{21}{6}$$

Since -\frac{1}{6} and \frac{21}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-21}{6}$$

Subtract 21 from -1 to get -22.

$$\frac{-22}{6}$$

Reduce the fraction \frac{-22}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{11}{3}$$

Factor

$$-\frac{11}{3} = -3\frac{2}{3} = -3.6666666666666665$$