Solve 8.314*314/0.66*0.5*10^6

$$\frac{ 8.314 \times 314 }{ 0.66 \times 0.5 \times { 10 }^{ 6 } }$$

Evaluate

$$\frac{652649}{82500000}\approx 0.007910897$$

Solution Steps

Multiply 8.314 and 314 to get 2610.596.

$$\frac{2610.596}{0.66\times 0.5\times 10^{6}}$$

Multiply 0.66 and 0.5 to get 0.33.

$$\frac{2610.596}{0.33\times 10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{2610.596}{0.33\times 1000000}$$

Multiply 0.33 and 1000000 to get 330000.

$$\frac{2610.596}{330000}$$

Expand \frac{2610.596}{330000} by multiplying both numerator and the denominator by 1000.

$$\frac{2610596}{330000000}$$

Reduce the fraction \frac{2610596}{330000000} to lowest terms by extracting and canceling out 4.

$$\frac{652649}{82500000}$$

Factor

$$\frac{157 \cdot 4157}{3 \cdot 11 \cdot 2 ^ {5} \cdot 5 ^ {7}} = 0.00791089696969697$$