Solve 1000/18.0028.314*373.14

$$\frac{ 1000 }{ 18.002 } 8.314 \cdot 373.14$$

Evaluate

$$\frac{1551142980}{9001}\approx 172330.072214198$$

Solution Steps

Expand \frac{1000}{18.002} by multiplying both numerator and the denominator by 1000.

$$\frac{1000000}{18002}\times 8.314\times 373.14$$

Reduce the fraction \frac{1000000}{18002} to lowest terms by extracting and canceling out 2.

$$\frac{500000}{9001}\times 8.314\times 373.14$$

Convert decimal number 8.314 to fraction \frac{8314}{1000}. Reduce the fraction \frac{8314}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{500000}{9001}\times \frac{4157}{500}\times 373.14$$

Multiply \frac{500000}{9001} times \frac{4157}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{500000\times 4157}{9001\times 500}\times 373.14$$

Do the multiplications in the fraction \frac{500000\times 4157}{9001\times 500}.

$$\frac{2078500000}{4500500}\times 373.14$$

Reduce the fraction \frac{2078500000}{4500500} to lowest terms by extracting and canceling out 500.

$$\frac{4157000}{9001}\times 373.14$$

Convert decimal number 373.14 to fraction \frac{37314}{100}. Reduce the fraction \frac{37314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{4157000}{9001}\times \frac{18657}{50}$$

Multiply \frac{4157000}{9001} times \frac{18657}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4157000\times 18657}{9001\times 50}$$

Do the multiplications in the fraction \frac{4157000\times 18657}{9001\times 50}.

$$\frac{77557149000}{450050}$$

Reduce the fraction \frac{77557149000}{450050} to lowest terms by extracting and canceling out 50.

$$\frac{1551142980}{9001}$$

Factor

$$\frac{5 \cdot 691 \cdot 4157 \cdot 2 ^ {2} \cdot 3 ^ {3}}{9001} = 172330\frac{650}{9001} = 172330.07221419842$$