Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.1" was replaced by "(1/10)".

Step  1  :

             1
 Simplify   ——
            10

Equation at the end of step  1  :

         1
  1 +  (——)8)
        10

Step  2  :

 2.1     10 = 2•5 (10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  2  :

          1   
  1 +  ———————
       (28•58)

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2⁸ • 5⁸  as the denominator :

          1     1 • (28•58)
     1 =  —  =  ———————————
          1       (28•58)  

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 = 2⁸ • 5⁸

   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:

 (28•58) + 1     28•58 + 1
 ———————————  =  —————————
   (28•58)        (28•58) 

Final result :

   1 + 1 
  ———————
  (28•58)