Solve 1/3*3.14*15.9^2*17.2

$$\frac{ 1 }{ 3 } \times 3.14 \times { 15.9 }^{ 2 } \times 17.2$$

Evaluate

$$4551.25416$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 15.9^{2}\times 17.2$$

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

$$\frac{1\times 157}{3\times 50}\times 15.9^{2}\times 17.2$$

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

$$\frac{157}{150}\times 15.9^{2}\times 17.2$$

Calculate 15.9 to the power of 2 and get 252.81.

$$\frac{157}{150}\times 252.81\times 17.2$$

Convert decimal number 252.81 to fraction \frac{25281}{100}.

$$\frac{157}{150}\times \frac{25281}{100}\times 17.2$$

Multiply \frac{157}{150} times \frac{25281}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 25281}{150\times 100}\times 17.2$$

Do the multiplications in the fraction \frac{157\times 25281}{150\times 100}.

$$\frac{3969117}{15000}\times 17.2$$

Reduce the fraction \frac{3969117}{15000} to lowest terms by extracting and canceling out 3.

$$\frac{1323039}{5000}\times 17.2$$

Convert decimal number 17.2 to fraction \frac{172}{10}. Reduce the fraction \frac{172}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1323039}{5000}\times \frac{86}{5}$$

Multiply \frac{1323039}{5000} times \frac{86}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1323039\times 86}{5000\times 5}$$

Do the multiplications in the fraction \frac{1323039\times 86}{5000\times 5}.

$$\frac{113781354}{25000}$$

Reduce the fraction \frac{113781354}{25000} to lowest terms by extracting and canceling out 2.

$$\frac{56890677}{12500}$$

Factor

$$\frac{3 \cdot 43 \cdot 157 \cdot 53 ^ {2}}{2 ^ {2} \cdot 5 ^ {5}} = 4551\frac{3177}{12500} = 4551.25416$$