Solve -1/3-1/4+2/-12

$$- \frac { 1 } { 3 } - \frac { 1 } { 4 } + \frac { 2 } { - 12 }$$

Evaluate

$$-\frac{3}{4}=-0.75$$

Solution Steps

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

$$-\frac{4}{12}-\frac{3}{12}+\frac{2}{-12}$$

Since -\frac{4}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-3}{12}+\frac{2}{-12}$$

Subtract 3 from -4 to get -7.

$$-\frac{7}{12}+\frac{2}{-12}$$

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

$$-\frac{7}{12}-\frac{1}{6}$$

Least common multiple of 12 and 6 is 12. Convert -\frac{7}{12} and \frac{1}{6} to fractions with denominator 12.

$$-\frac{7}{12}-\frac{2}{12}$$

Since -\frac{7}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-2}{12}$$

Subtract 2 from -7 to get -9.

$$\frac{-9}{12}$$

Reduce the fraction \frac{-9}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{4}$$

Factor

$$-\frac{3}{4} = -0.75$$