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

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

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

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

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

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

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

Subtract 2 from 3 to get 1.

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

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

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

Since \frac{6}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 6 to get 5.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$