Solve -2.44*0.705+1/2*9.8*(0.701)^2

$$- 2.44 \times 0.705 + \frac { 1 } { 2 } \times 9.8 \times ( 0.701 ) ^ { 2 }$$

Evaluate

$$0.6876649$$

Solution Steps

Multiply -2.44 and 0.705 to get -1.7202.

$$-1.7202+\frac{1}{2}\times 9.8\times 0.701^{2}$$

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.

$$-1.7202+\frac{1}{2}\times \frac{49}{5}\times 0.701^{2}$$

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

$$-1.7202+\frac{1\times 49}{2\times 5}\times 0.701^{2}$$

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

$$-1.7202+\frac{49}{10}\times 0.701^{2}$$

Calculate 0.701 to the power of 2 and get 0.491401.

$$-1.7202+\frac{49}{10}\times 0.491401$$

Convert decimal number 0.491401 to fraction \frac{491401}{1000000}.

$$-1.7202+\frac{49}{10}\times \frac{491401}{1000000}$$

Multiply \frac{49}{10} times \frac{491401}{1000000} by multiplying numerator times numerator and denominator times denominator.

$$-1.7202+\frac{49\times 491401}{10\times 1000000}$$

Do the multiplications in the fraction \frac{49\times 491401}{10\times 1000000}.

$$-1.7202+\frac{24078649}{10000000}$$

Convert decimal number -1.7202 to fraction -\frac{17202}{10000}. Reduce the fraction -\frac{17202}{10000} to lowest terms by extracting and canceling out 2.

$$-\frac{8601}{5000}+\frac{24078649}{10000000}$$

Least common multiple of 5000 and 10000000 is 10000000. Convert -\frac{8601}{5000} and \frac{24078649}{10000000} to fractions with denominator 10000000.

$$-\frac{17202000}{10000000}+\frac{24078649}{10000000}$$

Since -\frac{17202000}{10000000} and \frac{24078649}{10000000} have the same denominator, add them by adding their numerators.

$$\frac{-17202000+24078649}{10000000}$$

Add -17202000 and 24078649 to get 6876649.

$$\frac{6876649}{10000000}$$

Factor

$$\frac{13 \cdot 528973}{2 ^ {7} \cdot 5 ^ {7}} = 0.6876649$$