Solve 5*8.315*(25+273.15)/200*10^3

$$\frac{ 5 \times 8.315 \times (25+273.15) }{ 200 \times { 10 }^{ 3 } }$$

Evaluate

$$0.06197793125$$

Solution Steps

Cancel out 5 in both numerator and denominator.

$$\frac{8.315\left(25+273.15\right)}{40\times 10^{3}}$$

Add 25 and 273.15 to get 298.15.

$$\frac{8.315\times 298.15}{40\times 10^{3}}$$

Multiply 8.315 and 298.15 to get 2479.11725.

$$\frac{2479.11725}{40\times 10^{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{2479.11725}{40\times 1000}$$

Multiply 40 and 1000 to get 40000.

$$\frac{2479.11725}{40000}$$

Expand \frac{2479.11725}{40000} by multiplying both numerator and the denominator by 100000.

$$\frac{247911725}{4000000000}$$

Reduce the fraction \frac{247911725}{4000000000} to lowest terms by extracting and canceling out 25.

$$\frac{9916469}{160000000}$$

Factor

$$\frac{67 \cdot 89 \cdot 1663}{2 ^ {11} \cdot 5 ^ {7}} = 0.06197793125$$