Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.14" was replaced by "(214/100)".

Step  1  :

            107
 Simplify   ———
            50 

Equation at the end of step  1  :

         107
  505 -  ———
         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 :

            505     505 • 50
     505 =  ———  =  ————————
             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:

 505 • 50 - (107)     25143
 ————————————————  =  —————
        50             50  

Final result :

  25143             
  ————— = 502.86000 
   50