Solve 1/3*3.14*8.6*8.6*12.4

$$\frac{ 1 }{ 3 } \times 3.14 \times 8.6 \times 8.6 \times 12.4$$

Evaluate

$$\frac{8999083}{9375}\approx 959.902186667$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 8.6\times 8.6\times 12.4$$

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

$$\frac{1\times 157}{3\times 50}\times 8.6\times 8.6\times 12.4$$

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

$$\frac{157}{150}\times 8.6\times 8.6\times 12.4$$

Convert decimal number 8.6 to fraction \frac{86}{10}. Reduce the fraction \frac{86}{10} to lowest terms by extracting and canceling out 2.

$$\frac{157}{150}\times \frac{43}{5}\times 8.6\times 12.4$$

Multiply \frac{157}{150} times \frac{43}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 43}{150\times 5}\times 8.6\times 12.4$$

Do the multiplications in the fraction \frac{157\times 43}{150\times 5}.

$$\frac{6751}{750}\times 8.6\times 12.4$$

Convert decimal number 8.6 to fraction \frac{86}{10}. Reduce the fraction \frac{86}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6751}{750}\times \frac{43}{5}\times 12.4$$

Multiply \frac{6751}{750} times \frac{43}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6751\times 43}{750\times 5}\times 12.4$$

Do the multiplications in the fraction \frac{6751\times 43}{750\times 5}.

$$\frac{290293}{3750}\times 12.4$$

Convert decimal number 12.4 to fraction \frac{124}{10}. Reduce the fraction \frac{124}{10} to lowest terms by extracting and canceling out 2.

$$\frac{290293}{3750}\times \frac{62}{5}$$

Multiply \frac{290293}{3750} times \frac{62}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{290293\times 62}{3750\times 5}$$

Do the multiplications in the fraction \frac{290293\times 62}{3750\times 5}.

$$\frac{17998166}{18750}$$

Reduce the fraction \frac{17998166}{18750} to lowest terms by extracting and canceling out 2.

$$\frac{8999083}{9375}$$

Factor

$$\frac{31 \cdot 157 \cdot 43 ^ {2}}{3 \cdot 5 ^ {5}} = 959\frac{8458}{9375} = 959.9021866666667$$