Solve 1/2-(1/6+1/4)

$$\frac{ 1 }{ 2 } -( \frac{ 1 }{ 6 } + \frac{ 1 }{ 4 } )$$

Evaluate

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

Solution Steps

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

$$\frac{1}{2}-\left(\frac{2}{12}+\frac{3}{12}\right)$$

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

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

Add 2 and 3 to get 5.

$$\frac{1}{2}-\frac{5}{12}$$

Least common multiple of 2 and 12 is 12. Convert \frac{1}{2} and \frac{5}{12} to fractions with denominator 12.

$$\frac{6}{12}-\frac{5}{12}$$

Since \frac{6}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-5}{12}$$

Subtract 5 from 6 to get 1.

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

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$