Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "18.84" was replaced by "(1884/100)".

Step  1  :

            471
 Simplify   ———
            25 

Equation at the end of step  1  :

   471          
  (——— +  4) +  5
   25           

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  25  as the denominator :

         4     4 • 25
    4 =  —  =  ——————
         1       25  

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:

 471 + 4 • 25     571
 ————————————  =  ———
      25          25 

Equation at the end of step  2  :

  571    
  ——— +  5
  25     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  25  as the denominator :

         5     5 • 25
    5 =  —  =  ——————
         1       25  

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 571 + 5 • 25     696
 ————————————  =  ———
      25          25 

Final result :

  696            
  ——— = 27.84000 
  25