Solve 1/2*left(200div3.6right)^2/9.81

$$\frac{ \frac{ 1 }{ 2 } \times { \left(200 \div 3.6 \right) }^{ 2 } }{ 9.81 }$$

Evaluate

$$\frac{12500000}{79461}\approx 157.309875285$$

Solution Steps

Expand \frac{200}{3.6} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{1}{2}\times \left(\frac{2000}{36}\right)^{2}}{9.81}$$

Reduce the fraction \frac{2000}{36} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{1}{2}\times \left(\frac{500}{9}\right)^{2}}{9.81}$$

Calculate \frac{500}{9} to the power of 2 and get \frac{250000}{81}.

$$\frac{\frac{1}{2}\times \frac{250000}{81}}{9.81}$$

Multiply \frac{1}{2} and \frac{250000}{81} to get \frac{125000}{81}.

$$\frac{\frac{125000}{81}}{9.81}$$

Express \frac{\frac{125000}{81}}{9.81} as a single fraction.

$$\frac{125000}{81\times 9.81}$$

Multiply 81 and 9.81 to get 794.61.

$$\frac{125000}{794.61}$$

Expand \frac{125000}{794.61} by multiplying both numerator and the denominator by 100.

$$\frac{12500000}{79461}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {8}}{109 \cdot 3 ^ {6}} = 157\frac{24623}{79461} = 157.30987528473088$$