Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.02" was replaced by "(02/100)". 2 more similar replacement(s)

Step  1  :

             1
 Simplify   ——
            50

Equation at the end of step  1  :

             5      1
  (98008 +  ——) +  ——
            10     50

Step  2  :

            1
 Simplify   —
            2

Equation at the end of step  2  :

            1      1
  (98008 +  —) +  ——
            2     50

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2  as the denominator :

              98008     98008 • 2
     98008 =  —————  =  —————————
                1           2    

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:

 98008 • 2 + 1     196017
 —————————————  =  ——————
       2             2   

Equation at the end of step  3  :

  196017     1
  —————— +  ——
    2       50

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       2 

      The right denominator is :       50 

      Least Common Multiple:
      50 

Calculating Multipliers :

 4.2    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 = 25

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)²   and  (y²+y)/(y+1)³  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

   L. Mult. • L. Num.      196017 • 25
   ——————————————————  =   ———————————
         L.C.M                 50     

   R. Mult. • R. Num.       1
   ——————————————————  =   ——
         L.C.M             50

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 196017 • 25 + 1     2450213
 ———————————————  =  ———————
       50              25   

Final result :

  2450213               
  ——————— = 98008.52000 
    25