Solve 8.314*373/0.1*0.075

$$\frac { 8.314 \times 373 } { 0.1 } \times 0.075$$

Evaluate

$$2325.8415$$

Solution Steps

Multiply 8.314 and 373 to get 3101.122.

$$\frac{3101.122}{0.1}\times 0.075$$

Expand \frac{3101.122}{0.1} by multiplying both numerator and the denominator by 1000.

$$\frac{3101122}{100}\times 0.075$$

Reduce the fraction \frac{3101122}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1550561}{50}\times 0.075$$

Convert decimal number 0.075 to fraction \frac{75}{1000}. Reduce the fraction \frac{75}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{1550561}{50}\times \frac{3}{40}$$

Multiply \frac{1550561}{50} times \frac{3}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1550561\times 3}{50\times 40}$$

Do the multiplications in the fraction \frac{1550561\times 3}{50\times 40}.

$$\frac{4651683}{2000}$$

Factor

$$\frac{3 \cdot 373 \cdot 4157}{2 ^ {4} \cdot 5 ^ {3}} = 2325\frac{1683}{2000} = 2325.8415$$