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

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

Evaluate

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

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

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

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

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

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

$$\frac{9}{12}-\frac{4}{12}$$

Since \frac{9}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{12}$$

Subtract 4 from 9 to get 5.

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

Factor

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