Solve 1/2-(2/3-1/12)=

$$\frac { 1 } { 2 } - ( \frac { 2 } { 3 } - \frac { 1 } { 12 } ) =$$

Evaluate

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

Solution Steps

Least common multiple of 3 and 12 is 12. Convert \frac{2}{3} and \frac{1}{12} to fractions with denominator 12.

$$\frac{1}{2}-\left(\frac{8}{12}-\frac{1}{12}\right)$$

Since \frac{8}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}-\frac{8-1}{12}$$

Subtract 1 from 8 to get 7.

$$\frac{1}{2}-\frac{7}{12}$$

Least common multiple of 2 and 12 is 12. Convert \frac{1}{2} and \frac{7}{12} to fractions with denominator 12.

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

Since \frac{6}{12} and \frac{7}{12} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 7 from 6 to get -1.

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

Factor

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