Solve 1.8*frac{3sqrt{3}}{27}

$$1.8 \times \frac{ 3 \sqrt{ 3 } }{ 27 }$$

Evaluate

$$\frac{\sqrt{3}}{5}\approx 0.346410162$$

Solution Steps

Divide 3\sqrt{3} by 27 to get \frac{1}{9}\sqrt{3}.

$$1.8\times \frac{1}{9}\sqrt{3}$$

Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5}\times \frac{1}{9}\sqrt{3}$$

Multiply \frac{9}{5} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 1}{5\times 9}\sqrt{3}$$

Cancel out 9 in both numerator and denominator.

$$\frac{1}{5}\sqrt{3}$$