Solve -3/2-5/6

$$- \frac { 3 } { 2 } - \frac { 5 } { 6 }$$

Evaluate

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

Solution Steps

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

$$-\frac{9}{6}-\frac{5}{6}$$

Since -\frac{9}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-5}{6}$$

Subtract 5 from -9 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

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