Solve 5*10^5*1/287.2left(273.15+21right)

$$\frac{ 5 \times { 10 }^{ 5 } \times 1 }{ 287.2 \left( 273.15+21 \right) }$$

Evaluate

$$\frac{12500000}{2111997}\approx 5.918569013$$

Solution Steps

Calculate 10 to the power of 5 and get 100000.

$$\frac{5\times 100000\times 1}{287.2\left(273.15+21\right)}$$

Multiply 5 and 100000 to get 500000.

$$\frac{500000\times 1}{287.2\left(273.15+21\right)}$$

Multiply 500000 and 1 to get 500000.

$$\frac{500000}{287.2\left(273.15+21\right)}$$

Add 273.15 and 21 to get 294.15.

$$\frac{500000}{287.2\times 294.15}$$

Multiply 287.2 and 294.15 to get 84479.88.

$$\frac{500000}{84479.88}$$

Expand \frac{500000}{84479.88} by multiplying both numerator and the denominator by 100.

$$\frac{50000000}{8447988}$$

Reduce the fraction \frac{50000000}{8447988} to lowest terms by extracting and canceling out 4.

$$\frac{12500000}{2111997}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {8}}{3 \cdot 37 \cdot 53 \cdot 359} = 5\frac{1940015}{2111997} = 5.918569013118863$$