Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.2" was replaced by "(2/10)".

Step  1  :

            1
 Simplify   —
            5

Equation at the end of step  1  :

   1        
  (—)2) +  5
   5        

Step  2  :

Equation at the end of step  2  :

   1    
  —— +  5
  52    

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  5²  as the denominator :

         5     5 • 52
    5 =  —  =  ——————
         1       52  

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 :

 3.2       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:

 1 + 5 • 25     126
 ——————————  =  ———
     25         25 

Final result :

  126           
  ——— = 5.04000 
  25