Solve 1/3*3.14*0.05*0.05*0.12

$$\frac{ 1 }{ 3 } \times 3.14 \times 0.05 \times 0.05 \times 0.12$$

Evaluate

$$0.000314$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 0.05\times 0.05\times 0.12$$

Multiply \frac{1}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{3\times 50}\times 0.05\times 0.05\times 0.12$$

Do the multiplications in the fraction \frac{1\times 157}{3\times 50}.

$$\frac{157}{150}\times 0.05\times 0.05\times 0.12$$

Convert decimal number 0.05 to fraction \frac{5}{100}. Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{157}{150}\times \frac{1}{20}\times 0.05\times 0.12$$

Multiply \frac{157}{150} times \frac{1}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 1}{150\times 20}\times 0.05\times 0.12$$

Do the multiplications in the fraction \frac{157\times 1}{150\times 20}.

$$\frac{157}{3000}\times 0.05\times 0.12$$

Convert decimal number 0.05 to fraction \frac{5}{100}. Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{157}{3000}\times \frac{1}{20}\times 0.12$$

Multiply \frac{157}{3000} times \frac{1}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 1}{3000\times 20}\times 0.12$$

Do the multiplications in the fraction \frac{157\times 1}{3000\times 20}.

$$\frac{157}{60000}\times 0.12$$

Convert decimal number 0.12 to fraction \frac{12}{100}. Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{157}{60000}\times \frac{3}{25}$$

Multiply \frac{157}{60000} times \frac{3}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 3}{60000\times 25}$$

Do the multiplications in the fraction \frac{157\times 3}{60000\times 25}.

$$\frac{471}{1500000}$$

Reduce the fraction \frac{471}{1500000} to lowest terms by extracting and canceling out 3.

$$\frac{157}{500000}$$

Factor

$$\frac{157}{2 ^ {5} \cdot 5 ^ {6}} = 0.000314$$