Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.005" was replaced by "(005/1000)".

Step  1  :

             1 
 Simplify   ———
            200

Equation at the end of step  1  :

         1 
  1 +  (———)240)
        200

Step  2  :

 2.1     200 = 2³•5² (200)²⁴⁰ = (2³•5²)²⁴⁰ = 2⁷²⁰ • 5⁴⁸⁰

Equation at the end of step  2  :

            1     
  1 +  ———————————
       (2720•5480) 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2⁷²⁰ • 5⁴⁸⁰  as the denominator :

          1     1 • (2720•5480)
     1 =  —  =  ———————————————
          1       (2720•5480)  

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 = 2⁷²⁰ • 5⁴⁸⁰

   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:

 (2720•5480) + 1     2720•5480 + 1
 ———————————————  =  —————————————
   (2720•5480)        (2720•5480) 

Final result :

     1 + 1   
  ———————————
  (2720•5480)