Solve =4399.75/55-(8.173)^2

$$= \frac { 4399.75 } { 55 } - ( 8.173 ) ^ { 2 }$$

Evaluate

$$\frac{145172781}{11000000}\approx 13.197525545$$

Solution Steps

Expand \frac{4399.75}{55} by multiplying both numerator and the denominator by 100.

$$\frac{439975}{5500}-8.173^{2}$$

Reduce the fraction \frac{439975}{5500} to lowest terms by extracting and canceling out 25.

$$\frac{17599}{220}-8.173^{2}$$

Calculate 8.173 to the power of 2 and get 66.797929.

$$\frac{17599}{220}-66.797929$$

Convert decimal number 66.797929 to fraction \frac{66797929}{1000000}.

$$\frac{17599}{220}-\frac{66797929}{1000000}$$

Least common multiple of 220 and 1000000 is 11000000. Convert \frac{17599}{220} and \frac{66797929}{1000000} to fractions with denominator 11000000.

$$\frac{879950000}{11000000}-\frac{734777219}{11000000}$$

Since \frac{879950000}{11000000} and \frac{734777219}{11000000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{879950000-734777219}{11000000}$$

Subtract 734777219 from 879950000 to get 145172781.

$$\frac{145172781}{11000000}$$

Factor

$$\frac{13 \cdot 1240793 \cdot 3 ^ {2}}{11 \cdot 2 ^ {6} \cdot 5 ^ {6}} = 13\frac{2172781}{11000000} = 13.197525545454546$$