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

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

Evaluate

$$0$$

Solution Steps

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

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

Since -\frac{3}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

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

Add -3 and 1 to get -2.

$$\frac{-2}{12}+\frac{1}{6}$$

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

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

Add -\frac{1}{6} and \frac{1}{6} to get 0.

$$0$$

Factor

$$0$$