Solve 1.9*4/3pi*0.4^3

$$1.9 \times \frac{ 4 }{ 3 } \pi \times { 0.4 }^{ 3 }$$

Evaluate

$$\frac{304\pi }{1875}\approx 0.509356889$$

Solution Steps

Convert decimal number 1.9 to fraction \frac{19}{10}.

$$\frac{19}{10}\times \frac{4}{3}\pi \times 0.4^{3}$$

Multiply \frac{19}{10} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 4}{10\times 3}\pi \times 0.4^{3}$$

Do the multiplications in the fraction \frac{19\times 4}{10\times 3}.

$$\frac{76}{30}\pi \times 0.4^{3}$$

Reduce the fraction \frac{76}{30} to lowest terms by extracting and canceling out 2.

$$\frac{38}{15}\pi \times 0.4^{3}$$

Calculate 0.4 to the power of 3 and get 0.064.

$$\frac{38}{15}\pi \times 0.064$$

Convert decimal number 0.064 to fraction \frac{64}{1000}. Reduce the fraction \frac{64}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{38}{15}\pi \times \frac{8}{125}$$

Multiply \frac{38}{15} times \frac{8}{125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{38\times 8}{15\times 125}\pi$$

Do the multiplications in the fraction \frac{38\times 8}{15\times 125}.

$$\frac{304}{1875}\pi$$