Solve 2/3pi(4)(.2)(.8)

$$\frac{ 2 }{ 3 } \pi (4)(.2)(.8)$$

Evaluate

$$\frac{32\pi }{75}\approx 1.340412866$$

Solution Steps

Express \frac{2}{3}\times 4 as a single fraction.

$$\frac{2\times 4}{3}\pi \times 0.2\times 0.8$$

Multiply 2 and 4 to get 8.

$$\frac{8}{3}\pi \times 0.2\times 0.8$$

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.

$$\frac{8}{3}\pi \times \frac{1}{5}\times 0.8$$

Multiply \frac{8}{3} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 1}{3\times 5}\pi \times 0.8$$

Do the multiplications in the fraction \frac{8\times 1}{3\times 5}.

$$\frac{8}{15}\pi \times 0.8$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8}{15}\pi \times \frac{4}{5}$$

Multiply \frac{8}{15} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 4}{15\times 5}\pi$$

Do the multiplications in the fraction \frac{8\times 4}{15\times 5}.

$$\frac{32}{75}\pi$$