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

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

Evaluate

$$\frac{\sqrt{3}+2}{4}\approx 0.933012702$$

Solution Steps

Multiply \frac{1}{2} times \frac{\sqrt{3}}{2} by multiplying numerator times numerator and denominator times denominator.

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

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

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

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

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

Expand 2\times 2.

$$\frac{2+\sqrt{3}}{4}$$

Factor

$$\frac{\sqrt{3} + 2}{4} = 0.9330127018922193$$