Solve 49955/2215-22.15^2

$$\frac{ 49955 }{ 2215 } - { 22.15 }^{ 2 }$$

Evaluate

$$-\frac{82941907}{177200}\approx -468.069452596$$

Solution Steps

Reduce the fraction \frac{49955}{2215} to lowest terms by extracting and canceling out 5.

$$\frac{9991}{443}-22.15^{2}$$

Calculate 22.15 to the power of 2 and get 490.6225.

$$\frac{9991}{443}-490.6225$$

Convert decimal number 490.6225 to fraction \frac{4906225}{10000}. Reduce the fraction \frac{4906225}{10000} to lowest terms by extracting and canceling out 25.

$$\frac{9991}{443}-\frac{196249}{400}$$

Least common multiple of 443 and 400 is 177200. Convert \frac{9991}{443} and \frac{196249}{400} to fractions with denominator 177200.

$$\frac{3996400}{177200}-\frac{86938307}{177200}$$

Since \frac{3996400}{177200} and \frac{86938307}{177200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3996400-86938307}{177200}$$

Subtract 86938307 from 3996400 to get -82941907.

$$-\frac{82941907}{177200}$$

Factor

$$-\frac{82941907}{177200} = -468\frac{12307}{177200} = -468.0694525959368$$