Solve 6300*101300/2000000*293.15/273.15

$$6300 \times \frac{ 101300 }{ 2000000 } \times \frac{ 293.15 }{ 273.15 }$$

Evaluate

$$\frac{41574533}{121400}\approx 342.459085667$$

Solution Steps

Reduce the fraction \frac{101300}{2000000} to lowest terms by extracting and canceling out 100.

$$6300\times \frac{1013}{20000}\times \frac{293.15}{273.15}$$

Express 6300\times \frac{1013}{20000} as a single fraction.

$$\frac{6300\times 1013}{20000}\times \frac{293.15}{273.15}$$

Multiply 6300 and 1013 to get 6381900.

$$\frac{6381900}{20000}\times \frac{293.15}{273.15}$$

Reduce the fraction \frac{6381900}{20000} to lowest terms by extracting and canceling out 100.

$$\frac{63819}{200}\times \frac{293.15}{273.15}$$

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

$$\frac{63819}{200}\times \frac{29315}{27315}$$

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

$$\frac{63819}{200}\times \frac{5863}{5463}$$

Multiply \frac{63819}{200} times \frac{5863}{5463} by multiplying numerator times numerator and denominator times denominator.

$$\frac{63819\times 5863}{200\times 5463}$$

Do the multiplications in the fraction \frac{63819\times 5863}{200\times 5463}.

$$\frac{374170797}{1092600}$$

Reduce the fraction \frac{374170797}{1092600} to lowest terms by extracting and canceling out 9.

$$\frac{41574533}{121400}$$

Factor

$$\frac{7 \cdot 11 \cdot 13 \cdot 41 \cdot 1013}{607 \cdot 2 ^ {3} \cdot 5 ^ {2}} = 342\frac{55733}{121400} = 342.4590856672158$$