Solve 4/3*3.14*30.4^3

$$\frac { 4 } { 3 } \times 3.14 \times 30.4 ^ { 3 }$$

Evaluate

$$\frac{1102707712}{9375}\approx 117622.155946667$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 30.4^{3}$$

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

$$\frac{4\times 157}{3\times 50}\times 30.4^{3}$$

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

$$\frac{628}{150}\times 30.4^{3}$$

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

$$\frac{314}{75}\times 30.4^{3}$$

Calculate 30.4 to the power of 3 and get 28094.464.

$$\frac{314}{75}\times 28094.464$$

Convert decimal number 28094.464 to fraction \frac{28094464}{1000}. Reduce the fraction \frac{28094464}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{314}{75}\times \frac{3511808}{125}$$

Multiply \frac{314}{75} times \frac{3511808}{125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{314\times 3511808}{75\times 125}$$

Do the multiplications in the fraction \frac{314\times 3511808}{75\times 125}.

$$\frac{1102707712}{9375}$$

Factor

$$\frac{157 \cdot 2 ^ {10} \cdot 19 ^ {3}}{3 \cdot 5 ^ {5}} = 117622\frac{1462}{9375} = 117622.15594666667$$