Solve frac{sqrt{3}}{2}*frac{5sqrt{3}}{14}+1/2*11/14

$$\frac { \sqrt { 3 } } { 2 } \times \frac { 5 \sqrt { 3 } } { 14 } + \frac { 1 } { 2 } \times \frac { 11 } { 14 }$$

Evaluate

$$\frac{13}{14}\approx 0.928571429$$

Short Solution Steps

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

$$\frac{\sqrt{3}\times 5\sqrt{3}}{2\times 14}+\frac{1}{2}\times \frac{11}{14}$$

Multiply \frac{1}{2} times \frac{11}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\sqrt{3}\times 5\sqrt{3}}{2\times 14}+\frac{1\times 11}{2\times 14}$$

Do the multiplications in the fraction \frac{1\times 11}{2\times 14}.

$$\frac{\sqrt{3}\times 5\sqrt{3}}{2\times 14}+\frac{11}{28}$$

To add or subtract expressions, expand them to make their denominators the same. Expand 2\times 14.

$$\frac{\sqrt{3}\times 5\sqrt{3}}{28}+\frac{11}{28}$$

Since \frac{\sqrt{3}\times 5\sqrt{3}}{28} and \frac{11}{28} have the same denominator, add them by adding their numerators.

$$\frac{\sqrt{3}\times 5\sqrt{3}+11}{28}$$

Do the multiplications in \sqrt{3}\times 5\sqrt{3}+11.

$$\frac{15+11}{28}$$

Do the calculations in 15+11.

$$\frac{26}{28}$$

Reduce the fraction \frac{26}{28} to lowest terms by extracting and canceling out 2.

$$\frac{13}{14}$$

Factor

$$\frac{13}{2 \cdot 7} = 0.9285714285714286$$