Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.42" was replaced by "(442/100)".

Step  1  :

            221
 Simplify   ———
            50 

Equation at the end of step  1  :

        221
  10 -  ———
        50 

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  50  as the denominator :

           10     10 • 50
     10 =  ——  =  ———————
           1        50   

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 10 • 50 - (221)     279
 ———————————————  =  ———
       50            50 

Final result :

  279           
  ——— = 5.58000 
  50