Solve 1/2+frac{sqrt{3}}{3}

$$\frac{ 1 }{ 2 } + \frac{ \sqrt{ 3 } }{ 3 }$$

Evaluate

$$\frac{\sqrt{3}}{3}+\frac{1}{2}\approx 1.077350269$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 3 is 6. Multiply \frac{1}{2} times \frac{3}{3}. Multiply \frac{\sqrt{3}}{3} times \frac{2}{2}.

$$\frac{3}{6}+\frac{2\sqrt{3}}{6}$$

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

$$\frac{3+2\sqrt{3}}{6}$$

Factor

$$\frac{\sqrt{3} {(\sqrt{3} + 2)}}{6} = 1.0773502691896257$$