Solve frac{sqrt{3}}{2}*1/14+frac{5sqrt{3}}{14}*1/2

$$\frac { \sqrt { 3 } } { 2 } \times \frac { 1 } { 14 } + \frac { 5 \sqrt { 3 } } { 14 } \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{3\sqrt{3}}{14}\approx 0.371153744$$

Short Solution Steps

Multiply \frac{\sqrt{3}}{2} times \frac{1}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\sqrt{3}}{2\times 14}+\frac{5\sqrt{3}}{14}\times \frac{1}{2}$$

Multiply \frac{5\sqrt{3}}{14} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\sqrt{3}}{2\times 14}+\frac{5\sqrt{3}}{14\times 2}$$

Since \frac{\sqrt{3}}{2\times 14} and \frac{5\sqrt{3}}{14\times 2} have the same denominator, add them by adding their numerators.

$$\frac{\sqrt{3}+5\sqrt{3}}{2\times 14}$$

Do the calculations in \sqrt{3}+5\sqrt{3}.

$$\frac{6\sqrt{3}}{2\times 14}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\sqrt{3}}{14}$$