Solve (2212/990-980/990)

$$( \frac { 2212 } { 990 } - \frac { 980 } { 990 } )$$

Evaluate

$$\frac{56}{45}\approx 1.244444444$$

Solution Steps

Reduce the fraction \frac{2212}{990} to lowest terms by extracting and canceling out 2.

$$\frac{1106}{495}-\frac{980}{990}$$

Reduce the fraction \frac{980}{990} to lowest terms by extracting and canceling out 10.

$$\frac{1106}{495}-\frac{98}{99}$$

Least common multiple of 495 and 99 is 495. Convert \frac{1106}{495} and \frac{98}{99} to fractions with denominator 495.

$$\frac{1106}{495}-\frac{490}{495}$$

Since \frac{1106}{495} and \frac{490}{495} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1106-490}{495}$$

Subtract 490 from 1106 to get 616.

$$\frac{616}{495}$$

Reduce the fraction \frac{616}{495} to lowest terms by extracting and canceling out 11.

$$\frac{56}{45}$$

Factor

$$\frac{2 ^ {3} \cdot 7}{3 ^ {2} \cdot 5} = 1\frac{11}{45} = 1.2444444444444445$$