Solve (273.15-159.974)*5/28.314=

$$(273.15-159.974) \times \frac{ 5 }{ 2 } 8.314=$$

Evaluate

$$2352.36316$$

Solution Steps

Subtract 159.974 from 273.15 to get 113.176.

$$113.176\times \frac{5}{2}\times 8.314$$

Convert decimal number 113.176 to fraction \frac{113176}{1000}. Reduce the fraction \frac{113176}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{14147}{125}\times \frac{5}{2}\times 8.314$$

Multiply \frac{14147}{125} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14147\times 5}{125\times 2}\times 8.314$$

Do the multiplications in the fraction \frac{14147\times 5}{125\times 2}.

$$\frac{70735}{250}\times 8.314$$

Reduce the fraction \frac{70735}{250} to lowest terms by extracting and canceling out 5.

$$\frac{14147}{50}\times 8.314$$

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.

$$\frac{14147}{50}\times \frac{4157}{500}$$

Multiply \frac{14147}{50} times \frac{4157}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14147\times 4157}{50\times 500}$$

Do the multiplications in the fraction \frac{14147\times 4157}{50\times 500}.

$$\frac{58809079}{25000}$$

Factor

$$\frac{7 \cdot 43 \cdot 47 \cdot 4157}{2 ^ {3} \cdot 5 ^ {5}} = 2352\frac{9079}{25000} = 2352.36316$$