Solve -2*8.314*237.15*(1-0.4/10)

$$-2 \times 8.314 \times 237.15 \times (1- \frac{ 0.4 }{ 10 } )$$

Evaluate

$$-3785.596992$$

Solution Steps

Multiply -2 and 8.314 to get -16.628.

$$-16.628\times 237.15\left(1-\frac{0.4}{10}\right)$$

Multiply -16.628 and 237.15 to get -3943.3302.

$$-3943.3302\left(1-\frac{0.4}{10}\right)$$

Expand \frac{0.4}{10} by multiplying both numerator and the denominator by 10.

$$-3943.3302\left(1-\frac{4}{100}\right)$$

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$-3943.3302\left(1-\frac{1}{25}\right)$$

Convert 1 to fraction \frac{25}{25}.

$$-3943.3302\left(\frac{25}{25}-\frac{1}{25}\right)$$

Since \frac{25}{25} and \frac{1}{25} have the same denominator, subtract them by subtracting their numerators.

$$-3943.3302\times \frac{25-1}{25}$$

Subtract 1 from 25 to get 24.

$$-3943.3302\times \frac{24}{25}$$

Convert decimal number -3943.3302 to fraction -\frac{39433302}{10000}. Reduce the fraction -\frac{39433302}{10000} to lowest terms by extracting and canceling out 2.

$$-\frac{19716651}{5000}\times \frac{24}{25}$$

Multiply -\frac{19716651}{5000} times \frac{24}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-19716651\times 24}{5000\times 25}$$

Do the multiplications in the fraction \frac{-19716651\times 24}{5000\times 25}.

$$\frac{-473199624}{125000}$$

Reduce the fraction \frac{-473199624}{125000} to lowest terms by extracting and canceling out 8.

$$-\frac{59149953}{15625}$$

Factor

$$-3785.596992$$