Solve frac{11sqrt{3}}{18}*11/6*1/2

$$\frac { 11 \sqrt { 3 } } { 18 } \times \frac { 11 } { 6 } \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{121\sqrt{3}}{216}\approx 0.970269202$$

Solution Steps

Multiply \frac{11}{6} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\sqrt{3}}{18}\times \frac{11\times 1}{6\times 2}$$

Do the multiplications in the fraction \frac{11\times 1}{6\times 2}.

$$\frac{11\sqrt{3}}{18}\times \frac{11}{12}$$

Multiply \frac{11\sqrt{3}}{18} times \frac{11}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\sqrt{3}\times 11}{18\times 12}$$

Multiply 11 and 11 to get 121.

$$\frac{121\sqrt{3}}{18\times 12}$$

Multiply 18 and 12 to get 216.

$$\frac{121\sqrt{3}}{216}$$