Solve 16.1*0.8*10^3/1.732*220*0.86*0.78

$$\frac{ 16.1 \times 0.8 \times { 10 }^{ 3 } }{ 1.732 \times 220 \times 0.86 \times 0.78 }$$

Evaluate

$$\frac{402500000}{7987551}\approx 50.390914562$$

Solution Steps

Multiply 16.1 and 0.8 to get 12.88.

$$\frac{12.88\times 10^{3}}{1.732\times 220\times 0.86\times 0.78}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{12.88\times 1000}{1.732\times 220\times 0.86\times 0.78}$$

Multiply 12.88 and 1000 to get 12880.

$$\frac{12880}{1.732\times 220\times 0.86\times 0.78}$$

Multiply 1.732 and 220 to get 381.04.

$$\frac{12880}{381.04\times 0.86\times 0.78}$$

Multiply 381.04 and 0.86 to get 327.6944.

$$\frac{12880}{327.6944\times 0.78}$$

Multiply 327.6944 and 0.78 to get 255.601632.

$$\frac{12880}{255.601632}$$

Expand \frac{12880}{255.601632} by multiplying both numerator and the denominator by 1000000.

$$\frac{12880000000}{255601632}$$

Reduce the fraction \frac{12880000000}{255601632} to lowest terms by extracting and canceling out 32.

$$\frac{402500000}{7987551}$$

Factor

$$\frac{7 \cdot 23 \cdot 2 ^ {5} \cdot 5 ^ {7}}{3 \cdot 11 \cdot 13 \cdot 43 \cdot 433} = 50\frac{3122450}{7987551} = 50.39091456192267$$