Solve 0.5*0.8*10^3/1.732*220*0.64*0.84

$$\frac{ 0.5 \times 0.8 \times { 10 }^{ 3 } }{ 1.732 \times 220 \times 0.64 \times 0.84 }$$

Evaluate

$$\frac{390625}{200046}\approx 1.952675885$$

Solution Steps

Multiply 0.5 and 0.8 to get 0.4.

$$\frac{0.4\times 10^{3}}{1.732\times 220\times 0.64\times 0.84}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{0.4\times 1000}{1.732\times 220\times 0.64\times 0.84}$$

Multiply 0.4 and 1000 to get 400.

$$\frac{400}{1.732\times 220\times 0.64\times 0.84}$$

Multiply 1.732 and 220 to get 381.04.

$$\frac{400}{381.04\times 0.64\times 0.84}$$

Multiply 381.04 and 0.64 to get 243.8656.

$$\frac{400}{243.8656\times 0.84}$$

Multiply 243.8656 and 0.84 to get 204.847104.

$$\frac{400}{204.847104}$$

Expand \frac{400}{204.847104} by multiplying both numerator and the denominator by 1000000.

$$\frac{400000000}{204847104}$$

Reduce the fraction \frac{400000000}{204847104} to lowest terms by extracting and canceling out 1024.

$$\frac{390625}{200046}$$

Factor

$$\frac{5 ^ {8}}{2 \cdot 3 \cdot 7 \cdot 11 \cdot 433} = 1\frac{190579}{200046} = 1.9526758845465544$$