Solve =1/2*9.8*4^2

$$= \frac { 1 } { 2 } \times 9.8 \times 4 ^ { 2 }$$

Evaluate

$$78.4$$

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.

$$\frac{1}{2}\times \frac{49}{5}\times 4^{2}$$

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

$$\frac{1\times 49}{2\times 5}\times 4^{2}$$

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

$$\frac{49}{10}\times 4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{49}{10}\times 16$$

Express \frac{49}{10}\times 16 as a single fraction.

$$\frac{49\times 16}{10}$$

Multiply 49 and 16 to get 784.

$$\frac{784}{10}$$

Reduce the fraction \frac{784}{10} to lowest terms by extracting and canceling out 2.

$$\frac{392}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 7 ^ {2}}{5} = 78\frac{2}{5} = 78.4$$