Solve 75.1*10^3/1.732*380*0.865*0.65

$$\frac{ 75.1 \times { 10 }^{ 3 } }{ 1.732 \times 380 \times 0.865 \times 0.65 }$$

Evaluate

$$\frac{3755000000}{18502523}\approx 202.945295623$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{75.1\times 1000}{1.732\times 380\times 0.865\times 0.65}$$

Multiply 75.1 and 1000 to get 75100.

$$\frac{75100}{1.732\times 380\times 0.865\times 0.65}$$

Multiply 1.732 and 380 to get 658.16.

$$\frac{75100}{658.16\times 0.865\times 0.65}$$

Multiply 658.16 and 0.865 to get 569.3084.

$$\frac{75100}{569.3084\times 0.65}$$

Multiply 569.3084 and 0.65 to get 370.05046.

$$\frac{75100}{370.05046}$$

Expand \frac{75100}{370.05046} by multiplying both numerator and the denominator by 100000.

$$\frac{7510000000}{37005046}$$

Reduce the fraction \frac{7510000000}{37005046} to lowest terms by extracting and canceling out 2.

$$\frac{3755000000}{18502523}$$

Factor

$$\frac{751 \cdot 2 ^ {6} \cdot 5 ^ {7}}{13 \cdot 19 \cdot 173 \cdot 433} = 202\frac{17490354}{18502523} = 202.94529562265643$$