Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5555.5" was replaced by "(55555/10)". 2 more similar replacement(s)

Step  1  :

            11111
 Simplify   —————
              2  

Equation at the end of step  1  :

  25555    11111
  ————— +  —————
  10000      2  

Step  2  :

            5111
 Simplify   ————
            2000

Equation at the end of step  2  :

  5111    11111
  ———— +  —————
  2000      2  

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       2000 

      The right denominator is :       2 

      Least Common Multiple:
      2000 

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 = 1

   Right_M = L.C.M / R_Deno = 1000

Making Equivalent Fractions :

 3.3      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.      5111
   ——————————————————  =   ————
         L.C.M             2000

   R. Mult. • R. Num.      11111 • 1000
   ——————————————————  =   ————————————
         L.C.M                 2000    

Adding fractions that have a common denominator :

 3.4       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:

 5111 + 11111 • 1000     11116111
 ———————————————————  =  ————————
        2000               2000  

Final result :

  11116111              
  ———————— = 5558.05550 
    2000