Solve 7.5*10^3/1.732*220*0.87*0.82

$$\frac{ 7.5 \times { 10 }^{ 3 } }{ 1.732 \times 220 \times 0.87 \times 0.82 }$$

Evaluate

$$\frac{156250000}{5663207}\approx 27.590374147$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{7.5\times 1000}{1.732\times 220\times 0.87\times 0.82}$$

Multiply 7.5 and 1000 to get 7500.

$$\frac{7500}{1.732\times 220\times 0.87\times 0.82}$$

Multiply 1.732 and 220 to get 381.04.

$$\frac{7500}{381.04\times 0.87\times 0.82}$$

Multiply 381.04 and 0.87 to get 331.5048.

$$\frac{7500}{331.5048\times 0.82}$$

Multiply 331.5048 and 0.82 to get 271.833936.

$$\frac{7500}{271.833936}$$

Expand \frac{7500}{271.833936} by multiplying both numerator and the denominator by 1000000.

$$\frac{7500000000}{271833936}$$

Reduce the fraction \frac{7500000000}{271833936} to lowest terms by extracting and canceling out 48.

$$\frac{156250000}{5663207}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {10}}{11 \cdot 29 \cdot 41 \cdot 433} = 27\frac{3343411}{5663207} = 27.590374146662835$$