Solve 3/2sqrt{3}*0.25^2*0.04

$$\frac{ 3 }{ 2 } \sqrt{ 3 } \times { 0.25 }^{ 2 } \times 0.04$$

Evaluate

$$\frac{3\sqrt{3}}{800}\approx 0.006495191$$

Solution Steps

Convert decimal number 0.04 to fraction \frac{4}{100}. Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{25}\times \frac{3}{2}\sqrt{3}\times 0.25^{2}$$

Multiply \frac{1}{25} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{25\times 2}\sqrt{3}\times 0.25^{2}$$

Do the multiplications in the fraction \frac{1\times 3}{25\times 2}.

$$\frac{3}{50}\sqrt{3}\times 0.25^{2}$$

Calculate 0.25 to the power of 2 and get 0.0625.

$$\frac{3}{50}\sqrt{3}\times 0.0625$$

Convert decimal number 0.0625 to fraction \frac{625}{10000}. Reduce the fraction \frac{625}{10000} to lowest terms by extracting and canceling out 625.

$$\frac{3}{50}\sqrt{3}\times \frac{1}{16}$$

Multiply \frac{3}{50} times \frac{1}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{50\times 16}\sqrt{3}$$

Do the multiplications in the fraction \frac{3\times 1}{50\times 16}.

$$\frac{3}{800}\sqrt{3}$$