Solve 9.8*5.5+1/2*1.26^2-4.5

$$9.8 \times 5.5 + \frac { 1 } { 2 } \times 1.26 ^ { 2 } - 4.5$$

Evaluate

$$50.1938$$

Solution Steps

Multiply 9.8 and 5.5 to get 53.9.

$$53.9+\frac{1}{2}\times 1.26^{2}-4.5$$

Calculate 1.26 to the power of 2 and get 1.5876.

$$53.9+\frac{1}{2}\times 1.5876-4.5$$

Convert decimal number 1.5876 to fraction \frac{15876}{10000}. Reduce the fraction \frac{15876}{10000} to lowest terms by extracting and canceling out 4.

$$53.9+\frac{1}{2}\times \frac{3969}{2500}-4.5$$

Multiply \frac{1}{2} times \frac{3969}{2500} by multiplying numerator times numerator and denominator times denominator.

$$53.9+\frac{1\times 3969}{2\times 2500}-4.5$$

Do the multiplications in the fraction \frac{1\times 3969}{2\times 2500}.

$$53.9+\frac{3969}{5000}-4.5$$

Convert decimal number 53.9 to fraction \frac{539}{10}.

$$\frac{539}{10}+\frac{3969}{5000}-4.5$$

Least common multiple of 10 and 5000 is 5000. Convert \frac{539}{10} and \frac{3969}{5000} to fractions with denominator 5000.

$$\frac{269500}{5000}+\frac{3969}{5000}-4.5$$

Since \frac{269500}{5000} and \frac{3969}{5000} have the same denominator, add them by adding their numerators.

$$\frac{269500+3969}{5000}-4.5$$

Add 269500 and 3969 to get 273469.

$$\frac{273469}{5000}-4.5$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{273469}{5000}-\frac{9}{2}$$

Least common multiple of 5000 and 2 is 5000. Convert \frac{273469}{5000} and \frac{9}{2} to fractions with denominator 5000.

$$\frac{273469}{5000}-\frac{22500}{5000}$$

Since \frac{273469}{5000} and \frac{22500}{5000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{273469-22500}{5000}$$

Subtract 22500 from 273469 to get 250969.

$$\frac{250969}{5000}$$

Factor

$$\frac{250969}{2 ^ {3} \cdot 5 ^ {4}} = 50\frac{969}{5000} = 50.1938$$