Solve 1.75*(293.15/273.15)*(1.01325/20)*(1/0.25*3.14*0.114*0.114)

$$1.75 \times ( \frac{ 293.15 }{ 273.15 } ) \times ( \frac{ 1.01325 }{ 20 } ) \times ( \frac{ 1 }{ 0.25 \times 3.14 \times 0.114 \times 0.114 } )$$

Evaluate

$$\frac{34653994375}{3715517412}\approx 9.326828684$$

Solution Steps

Expand \frac{293.15}{273.15} by multiplying both numerator and the denominator by 100.

$$1.75\times \frac{29315}{27315}\times \frac{1.01325}{20}\times \frac{1}{0.25\times 3.14\times 0.114\times 0.114}$$

Reduce the fraction \frac{29315}{27315} to lowest terms by extracting and canceling out 5.

$$1.75\times \frac{5863}{5463}\times \frac{1.01325}{20}\times \frac{1}{0.25\times 3.14\times 0.114\times 0.114}$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{7}{4}\times \frac{5863}{5463}\times \frac{1.01325}{20}\times \frac{1}{0.25\times 3.14\times 0.114\times 0.114}$$

Multiply \frac{7}{4} times \frac{5863}{5463} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5863}{4\times 5463}\times \frac{1.01325}{20}\times \frac{1}{0.25\times 3.14\times 0.114\times 0.114}$$

Do the multiplications in the fraction \frac{7\times 5863}{4\times 5463}.

$$\frac{41041}{21852}\times \frac{1.01325}{20}\times \frac{1}{0.25\times 3.14\times 0.114\times 0.114}$$

Expand \frac{1.01325}{20} by multiplying both numerator and the denominator by 100000.

$$\frac{41041}{21852}\times \frac{101325}{2000000}\times \frac{1}{0.25\times 3.14\times 0.114\times 0.114}$$

Reduce the fraction \frac{101325}{2000000} to lowest terms by extracting and canceling out 25.

$$\frac{41041}{21852}\times \frac{4053}{80000}\times \frac{1}{0.25\times 3.14\times 0.114\times 0.114}$$

Multiply \frac{41041}{21852} times \frac{4053}{80000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{41041\times 4053}{21852\times 80000}\times \frac{1}{0.25\times 3.14\times 0.114\times 0.114}$$

Do the multiplications in the fraction \frac{41041\times 4053}{21852\times 80000}.

$$\frac{166339173}{1748160000}\times \frac{1}{0.25\times 3.14\times 0.114\times 0.114}$$

Reduce the fraction \frac{166339173}{1748160000} to lowest terms by extracting and canceling out 3.

$$\frac{55446391}{582720000}\times \frac{1}{0.25\times 3.14\times 0.114\times 0.114}$$

Multiply 0.25 and 3.14 to get 0.785.

$$\frac{55446391}{582720000}\times \frac{1}{0.785\times 0.114\times 0.114}$$

Multiply 0.785 and 0.114 to get 0.08949.

$$\frac{55446391}{582720000}\times \frac{1}{0.08949\times 0.114}$$

Multiply 0.08949 and 0.114 to get 0.01020186.

$$\frac{55446391}{582720000}\times \frac{1}{0.01020186}$$

Expand \frac{1}{0.01020186} by multiplying both numerator and the denominator by 100000000.

$$\frac{55446391}{582720000}\times \frac{100000000}{1020186}$$

Reduce the fraction \frac{100000000}{1020186} to lowest terms by extracting and canceling out 2.

$$\frac{55446391}{582720000}\times \frac{50000000}{510093}$$

Multiply \frac{55446391}{582720000} times \frac{50000000}{510093} by multiplying numerator times numerator and denominator times denominator.

$$\frac{55446391\times 50000000}{582720000\times 510093}$$

Do the multiplications in the fraction \frac{55446391\times 50000000}{582720000\times 510093}.

$$\frac{2772319550000000}{297241392960000}$$

Reduce the fraction \frac{2772319550000000}{297241392960000} to lowest terms by extracting and canceling out 80000.

$$\frac{34653994375}{3715517412}$$

Factor

$$\frac{11 \cdot 13 \cdot 41 \cdot 193 \cdot 5 ^ {4} \cdot 7 ^ {2}}{157 \cdot 607 \cdot 2 ^ {2} \cdot 3 ^ {3} \cdot 19 ^ {2}} = 9\frac{1214337667}{3715517412} = 9.326828684230643$$