Solve 1000/18*8.314*373.14

$$\frac{ 1000 }{ 18 } \times 8.314 \times 373.14$$

Evaluate

$$172349.22$$

Solution Steps

Reduce the fraction \frac{1000}{18} to lowest terms by extracting and canceling out 2.

$$\frac{500}{9}\times 8.314\times 373.14$$

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.

$$\frac{500}{9}\times \frac{4157}{500}\times 373.14$$

Multiply \frac{500}{9} times \frac{4157}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{500\times 4157}{9\times 500}\times 373.14$$

Cancel out 500 in both numerator and denominator.

$$\frac{4157}{9}\times 373.14$$

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.

$$\frac{4157}{9}\times \frac{18657}{50}$$

Multiply \frac{4157}{9} times \frac{18657}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4157\times 18657}{9\times 50}$$

Do the multiplications in the fraction \frac{4157\times 18657}{9\times 50}.

$$\frac{77557149}{450}$$

Reduce the fraction \frac{77557149}{450} to lowest terms by extracting and canceling out 9.

$$\frac{8617461}{50}$$

Factor

$$\frac{3 \cdot 691 \cdot 4157}{2 \cdot 5 ^ {2}} = 172349\frac{11}{50} = 172349.22$$