Solve 4/3*3.14*6*6*6

$$\frac{ 4 }{ 3 } \times 3.14 \times 6 \times 6 \times 6$$

Evaluate

$$904.32$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 6\times 6\times 6$$

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

$$\frac{4\times 157}{3\times 50}\times 6\times 6\times 6$$

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

$$\frac{628}{150}\times 6\times 6\times 6$$

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

$$\frac{314}{75}\times 6\times 6\times 6$$

Express \frac{314}{75}\times 6 as a single fraction.

$$\frac{314\times 6}{75}\times 6\times 6$$

Multiply 314 and 6 to get 1884.

$$\frac{1884}{75}\times 6\times 6$$

Reduce the fraction \frac{1884}{75} to lowest terms by extracting and canceling out 3.

$$\frac{628}{25}\times 6\times 6$$

Express \frac{628}{25}\times 6 as a single fraction.

$$\frac{628\times 6}{25}\times 6$$

Multiply 628 and 6 to get 3768.

$$\frac{3768}{25}\times 6$$

Express \frac{3768}{25}\times 6 as a single fraction.

$$\frac{3768\times 6}{25}$$

Multiply 3768 and 6 to get 22608.

$$\frac{22608}{25}$$

Factor

$$\frac{157 \cdot 2 ^ {4} \cdot 3 ^ {2}}{5 ^ {2}} = 904\frac{8}{25} = 904.32$$