Solve 1/2*9.81*0.2^2

$$\frac{ 1 }{ 2 } \times 9.81 \times { 0.2 }^{ 2 }$$

Evaluate

$$0.1962$$

Solution Steps

Convert decimal number 9.81 to fraction \frac{981}{100}.

$$\frac{1}{2}\times \frac{981}{100}\times 0.2^{2}$$

Multiply \frac{1}{2} times \frac{981}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 981}{2\times 100}\times 0.2^{2}$$

Do the multiplications in the fraction \frac{1\times 981}{2\times 100}.

$$\frac{981}{200}\times 0.2^{2}$$

Calculate 0.2 to the power of 2 and get 0.04.

$$\frac{981}{200}\times 0.04$$

Convert decimal number 0.04 to fraction \frac{4}{100}. Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{981}{200}\times \frac{1}{25}$$

Multiply \frac{981}{200} times \frac{1}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{981\times 1}{200\times 25}$$

Do the multiplications in the fraction \frac{981\times 1}{200\times 25}.

$$\frac{981}{5000}$$

Factor

$$\frac{109 \cdot 3 ^ {2}}{2 ^ {3} \cdot 5 ^ {4}} = 0.1962$$