Solve 1/2*9.8*0.9^2

$$\frac{ 1 }{ 2 } \times 9.8 \times { 0.9 }^{ 2 }$$

Evaluate

$$3.969$$

Solution Steps

Convert decimal number 9.8 to fraction \frac{98}{10}. Reduce the fraction \frac{98}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{49}{5}\times 0.9^{2}$$

Multiply \frac{1}{2} times \frac{49}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 49}{2\times 5}\times 0.9^{2}$$

Do the multiplications in the fraction \frac{1\times 49}{2\times 5}.

$$\frac{49}{10}\times 0.9^{2}$$

Calculate 0.9 to the power of 2 and get 0.81.

$$\frac{49}{10}\times 0.81$$

Convert decimal number 0.81 to fraction \frac{81}{100}.

$$\frac{49}{10}\times \frac{81}{100}$$

Multiply \frac{49}{10} times \frac{81}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 81}{10\times 100}$$

Do the multiplications in the fraction \frac{49\times 81}{10\times 100}.

$$\frac{3969}{1000}$$

Factor

$$\frac{3 ^ {4} \cdot 7 ^ {2}}{2 ^ {3} \cdot 5 ^ {3}} = 3\frac{969}{1000} = 3.969$$