Solve 1/2*3^2/9.81

$$\frac{ \frac{ 1 }{ 2 } \times { 3 }^{ 2 } }{ 9.81 }$$

Evaluate

$$\frac{50}{109}\approx 0.458715596$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{\frac{1}{2}\times 9}{9.81}$$

Multiply \frac{1}{2} and 9 to get \frac{9}{2}.

$$\frac{\frac{9}{2}}{9.81}$$

Express \frac{\frac{9}{2}}{9.81} as a single fraction.

$$\frac{9}{2\times 9.81}$$

Multiply 2 and 9.81 to get 19.62.

$$\frac{9}{19.62}$$

Expand \frac{9}{19.62} by multiplying both numerator and the denominator by 100.

$$\frac{900}{1962}$$

Reduce the fraction \frac{900}{1962} to lowest terms by extracting and canceling out 18.

$$\frac{50}{109}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{109} = 0.45871559633027525$$