Solve -1/6-3/4+5/12

$$- \frac { 1 } { 6 } - \frac { 3 } { 4 } + \frac { 5 } { 12 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Least common multiple of 6 and 4 is 12. Convert -\frac{1}{6} and \frac{3}{4} to fractions with denominator 12.

$$-\frac{2}{12}-\frac{9}{12}+\frac{5}{12}$$

Since -\frac{2}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-9}{12}+\frac{5}{12}$$

Subtract 9 from -2 to get -11.

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

Since -\frac{11}{12} and \frac{5}{12} have the same denominator, add them by adding their numerators.

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

Add -11 and 5 to get -6.

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

Reduce the fraction \frac{-6}{12} to lowest terms by extracting and canceling out 6.

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

Factor

$$-\frac{1}{2} = -0.5$$