Solve 6.3*10^3/1.732*380*0.875*0.82

$$\frac{ 6.3 \times { 10 }^{ 3 } }{ 1.732 \times 380 \times 0.875 \times 0.82 }$$

Evaluate

$$\frac{4500000}{337307}\approx 13.340962387$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{6.3\times 1000}{1.732\times 380\times 0.875\times 0.82}$$

Multiply 6.3 and 1000 to get 6300.

$$\frac{6300}{1.732\times 380\times 0.875\times 0.82}$$

Multiply 1.732 and 380 to get 658.16.

$$\frac{6300}{658.16\times 0.875\times 0.82}$$

Multiply 658.16 and 0.875 to get 575.89.

$$\frac{6300}{575.89\times 0.82}$$

Multiply 575.89 and 0.82 to get 472.2298.

$$\frac{6300}{472.2298}$$

Expand \frac{6300}{472.2298} by multiplying both numerator and the denominator by 10000.

$$\frac{63000000}{4722298}$$

Reduce the fraction \frac{63000000}{4722298} to lowest terms by extracting and canceling out 14.

$$\frac{4500000}{337307}$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {2} \cdot 5 ^ {6}}{19 \cdot 41 \cdot 433} = 13\frac{115009}{337307} = 13.340962387380042$$