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

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

Evaluate

$$\frac{7}{12}\approx 0.583333333$$

Solution Steps

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

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

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

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

Add 2 and 3 to get 5.

$$\frac{5}{6}-\frac{1}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{1}{4} to fractions with denominator 12.

$$\frac{10}{12}-\frac{3}{12}$$

Since \frac{10}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{12}$$

Subtract 3 from 10 to get 7.

$$\frac{7}{12}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$$