Solve 273.15*left(1.275+4.7710^-3right)0.287left(1+0.3784.7710^-3/4.7710^-3+1.275right)

$$273.15 \times \left( 1.275+4.77 { 10 }^{ -3 } \right) 0.287 \left( 1+0.378 \frac{ 4.77 { 10 }^{ -3 } }{ 4.77 { 10 }^{ -3 } +1.275 } \right)$$

Evaluate

$$100.467702544293$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$273.15\left(1.275+4.77\times \frac{1}{1000}\right)\times 0.287\left(1+0.378\times \frac{4.77\times 10^{-3}}{4.77\times 10^{-3}+1.275}\right)$$

Multiply 4.77 and \frac{1}{1000} to get \frac{477}{100000}.

$$273.15\left(1.275+\frac{477}{100000}\right)\times 0.287\left(1+0.378\times \frac{4.77\times 10^{-3}}{4.77\times 10^{-3}+1.275}\right)$$

Add 1.275 and \frac{477}{100000} to get \frac{127977}{100000}.

$$273.15\times \frac{127977}{100000}\times 0.287\left(1+0.378\times \frac{4.77\times 10^{-3}}{4.77\times 10^{-3}+1.275}\right)$$

Multiply 273.15 and \frac{127977}{100000} to get \frac{699138351}{2000000}.

$$\frac{699138351}{2000000}\times 0.287\left(1+0.378\times \frac{4.77\times 10^{-3}}{4.77\times 10^{-3}+1.275}\right)$$

Multiply \frac{699138351}{2000000} and 0.287 to get \frac{200652706737}{2000000000}.

$$\frac{200652706737}{2000000000}\left(1+0.378\times \frac{4.77\times 10^{-3}}{4.77\times 10^{-3}+1.275}\right)$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{200652706737}{2000000000}\left(1+0.378\times \frac{4.77\times \frac{1}{1000}}{4.77\times 10^{-3}+1.275}\right)$$

Multiply 4.77 and \frac{1}{1000} to get \frac{477}{100000}.

$$\frac{200652706737}{2000000000}\left(1+0.378\times \frac{\frac{477}{100000}}{4.77\times 10^{-3}+1.275}\right)$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{200652706737}{2000000000}\left(1+0.378\times \frac{\frac{477}{100000}}{4.77\times \frac{1}{1000}+1.275}\right)$$

Multiply 4.77 and \frac{1}{1000} to get \frac{477}{100000}.

$$\frac{200652706737}{2000000000}\left(1+0.378\times \frac{\frac{477}{100000}}{\frac{477}{100000}+1.275}\right)$$

Add \frac{477}{100000} and 1.275 to get \frac{127977}{100000}.

$$\frac{200652706737}{2000000000}\left(1+0.378\times \frac{\frac{477}{100000}}{\frac{127977}{100000}}\right)$$

Divide \frac{477}{100000} by \frac{127977}{100000} by multiplying \frac{477}{100000} by the reciprocal of \frac{127977}{100000}.

$$\frac{200652706737}{2000000000}\left(1+0.378\times \frac{477}{100000}\times \frac{100000}{127977}\right)$$

Multiply \frac{477}{100000} and \frac{100000}{127977} to get \frac{159}{42659}.

$$\frac{200652706737}{2000000000}\left(1+0.378\times \frac{159}{42659}\right)$$

Multiply 0.378 and \frac{159}{42659} to get \frac{30051}{21329500}.

$$\frac{200652706737}{2000000000}\left(1+\frac{30051}{21329500}\right)$$

Add 1 and \frac{30051}{21329500} to get \frac{21359551}{21329500}.

$$\frac{200652706737}{2000000000}\times \frac{21359551}{21329500}$$

Multiply \frac{200652706737}{2000000000} and \frac{21359551}{21329500} to get \frac{100467702544293}{1000000000000}.

$$\frac{100467702544293}{1000000000000}$$

Factor

$$\frac{7 \cdot 41 \cdot 607 \cdot 1129 \cdot 18919 \cdot 3 ^ {3}}{2 ^ {12} \cdot 5 ^ {12}} = 100\frac{467702544293}{1000000000000} = 100.467702544293$$