Solve 4/3*3.14*0.02^3

$$\frac{ 4 }{ 3 } \times 3.14 \times { 0.02 }^{ 3 }$$

Evaluate

$$\frac{157}{4687500}\approx 0.000033493$$

Solution Steps

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}\times \frac{157}{50}\times 0.02^{3}$$

Multiply \frac{4}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 157}{3\times 50}\times 0.02^{3}$$

Do the multiplications in the fraction \frac{4\times 157}{3\times 50}.

$$\frac{628}{150}\times 0.02^{3}$$

Reduce the fraction \frac{628}{150} to lowest terms by extracting and canceling out 2.

$$\frac{314}{75}\times 0.02^{3}$$

Calculate 0.02 to the power of 3 and get 0.000008.

$$\frac{314}{75}\times 0.000008$$

Convert decimal number 0.000008 to fraction \frac{8}{1000000}. Reduce the fraction \frac{8}{1000000} to lowest terms by extracting and canceling out 8.

$$\frac{314}{75}\times \frac{1}{125000}$$

Multiply \frac{314}{75} times \frac{1}{125000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{314\times 1}{75\times 125000}$$

Do the multiplications in the fraction \frac{314\times 1}{75\times 125000}.

$$\frac{314}{9375000}$$

Reduce the fraction \frac{314}{9375000} to lowest terms by extracting and canceling out 2.

$$\frac{157}{4687500}$$

Factor

$$\frac{157}{3 \cdot 2 ^ {2} \cdot 5 ^ {8}} = 3.349333333333333 \times 10^{-5}$$