Solve 4/3*0.2sqrt{3}

$$\frac{ 4 }{ 3 } \times 0.2 \sqrt{ 3 }$$

Evaluate

$$\frac{4\sqrt{3}}{15}\approx 0.461880215$$

Solution Steps

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}\times \frac{4}{3}\sqrt{3}$$

Multiply \frac{1}{5} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{5\times 3}\sqrt{3}$$

Do the multiplications in the fraction \frac{1\times 4}{5\times 3}.

$$\frac{4}{15}\sqrt{3}$$