Solve -1/6-5/4-1/12=

$$- \frac{ 1 }{ 6 } - \frac{ 5 }{ 4 } - \frac{ 1 }{ 12 } =$$

Evaluate

$$-\frac{3}{2}=-1.5$$

Solution Steps

Least common multiple of 6 and 4 is 12. Convert -\frac{1}{6} and \frac{5}{4} to fractions with denominator 12.

$$-\frac{2}{12}-\frac{15}{12}-\frac{1}{12}$$

Since -\frac{2}{12} and \frac{15}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-15}{12}-\frac{1}{12}$$

Subtract 15 from -2 to get -17.

$$-\frac{17}{12}-\frac{1}{12}$$

Since -\frac{17}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-17-1}{12}$$

Subtract 1 from -17 to get -18.

$$\frac{-18}{12}$$

Reduce the fraction \frac{-18}{12} to lowest terms by extracting and canceling out 6.

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

Factor

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$