Solve 4/3*3.14*10.1^3

$$\frac{ 4 }{ 3 } \times 3.14 \times { 10.1 }^{ 3 }$$

Evaluate

$$\frac{161757257}{37500}\approx 4313.526853333$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 10.1^{3}$$

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

$$\frac{4\times 157}{3\times 50}\times 10.1^{3}$$

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

$$\frac{628}{150}\times 10.1^{3}$$

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

$$\frac{314}{75}\times 10.1^{3}$$

Calculate 10.1 to the power of 3 and get 1030.301.

$$\frac{314}{75}\times 1030.301$$

Convert decimal number 1030.301 to fraction \frac{1030301}{1000}.

$$\frac{314}{75}\times \frac{1030301}{1000}$$

Multiply \frac{314}{75} times \frac{1030301}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{314\times 1030301}{75\times 1000}$$

Do the multiplications in the fraction \frac{314\times 1030301}{75\times 1000}.

$$\frac{323514514}{75000}$$

Reduce the fraction \frac{323514514}{75000} to lowest terms by extracting and canceling out 2.

$$\frac{161757257}{37500}$$

Factor

$$\frac{157 \cdot 101 ^ {3}}{3 \cdot 2 ^ {2} \cdot 5 ^ {5}} = 4313\frac{19757}{37500} = 4313.526853333334$$