Solve 4/3*3.14*18*18*18

$$\frac{ 4 }{ 3 } \times 3.14 \times 18 \times 18 \times 18$$

Evaluate

$$24416.64$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 18\times 18\times 18$$

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

$$\frac{4\times 157}{3\times 50}\times 18\times 18\times 18$$

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

$$\frac{628}{150}\times 18\times 18\times 18$$

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

$$\frac{314}{75}\times 18\times 18\times 18$$

Express \frac{314}{75}\times 18 as a single fraction.

$$\frac{314\times 18}{75}\times 18\times 18$$

Multiply 314 and 18 to get 5652.

$$\frac{5652}{75}\times 18\times 18$$

Reduce the fraction \frac{5652}{75} to lowest terms by extracting and canceling out 3.

$$\frac{1884}{25}\times 18\times 18$$

Express \frac{1884}{25}\times 18 as a single fraction.

$$\frac{1884\times 18}{25}\times 18$$

Multiply 1884 and 18 to get 33912.

$$\frac{33912}{25}\times 18$$

Express \frac{33912}{25}\times 18 as a single fraction.

$$\frac{33912\times 18}{25}$$

Multiply 33912 and 18 to get 610416.

$$\frac{610416}{25}$$

Factor

$$\frac{157 \cdot 2 ^ {4} \cdot 3 ^ {5}}{5 ^ {2}} = 24416\frac{16}{25} = 24416.64$$