Solve (1/2-1/3)-1/4=

$$( \frac { 1 } { 2 } - \frac { 1 } { 3 } ) - \frac { 1 } { 4 } =$$

Evaluate

$$-\frac{1}{12}\approx -0.083333333$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{3}{6}-\frac{2}{6}-\frac{1}{4}$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{6}-\frac{1}{4}$$

Subtract 2 from 3 to get 1.

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

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

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

Since \frac{2}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 2 to get -1.

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

Factor

$$-\frac{1}{12} = -0.08333333333333333$$