Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.08" was replaced by "(08/100)".

Step  1  :

             2
 Simplify   ——
            25

Equation at the end of step  1  :

         2
  1 +  (——)5)
        25

Step  2  :

 2.1     25 = 5² (25)⁵ = (5²)⁵ = 5¹⁰

Equation at the end of step  2  :

        25
  1 +  ———
       510

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  5¹⁰  as the denominator :

          1     1 • 510
     1 =  —  =  ———————
          1       510  

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

Calculating Multipliers :

 3.2    Calculate multipliers for the two fractions


    Denote the Least Common Multiple by  L.C.M 
    Denote the Left Multiplier by  Left_M 
    Denote the Right Multiplier by  Right_M 
    Denote the Left Deniminator by  L_Deno 
    Denote the Right Multiplier by  R_Deno 

   Left_M = L.C.M / L_Deno = 5¹⁰

   Right_M = L.C.M / R_Deno = 1

Adding fractions that have a common denominator :

 3.3       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:

 510 + 32     510 + 32
 ————————  =  ————————
   510          510   

Final result :

  1 + 32
  ——————
   510