Solve 5/12+(-7/12)+(-11/12)

$$\frac { 5 } { 12 } + ( - \frac { 7 } { 12 } ) + ( - \frac { 11 } { 12 } )$$

Evaluate

$$-\frac{13}{12}\approx -1.083333333$$

Solution Steps

Since \frac{5}{12} and \frac{7}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-7}{12}-\frac{11}{12}$$

Subtract 7 from 5 to get -2.

$$\frac{-2}{12}-\frac{11}{12}$$

Reduce the fraction \frac{-2}{12} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{6}-\frac{11}{12}$$

Least common multiple of 6 and 12 is 12. Convert -\frac{1}{6} and \frac{11}{12} to fractions with denominator 12.

$$-\frac{2}{12}-\frac{11}{12}$$

Since -\frac{2}{12} and \frac{11}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-11}{12}$$

Subtract 11 from -2 to get -13.

$$-\frac{13}{12}$$

Factor

$$-\frac{13}{12} = -1\frac{1}{12} = -1.0833333333333333$$