Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.3285" was replaced by "(73285/10000)". 3 more similar replacement(s)

Step  1  :

            14657
 Simplify   —————
            2000 

Equation at the end of step  1  :

   7698    6538     14657
  (———— +  ————) +  —————
   1000    1000     2000 

Step  2  :

            3269
 Simplify   ————
            500 

Equation at the end of step  2  :

   7698    3269     14657
  (———— +  ————) +  —————
   1000    500      2000 

Step  3  :

            3849
 Simplify   ————
            500 

Equation at the end of step  3  :

   3849    3269     14657
  (———— +  ————) +  —————
   500     500      2000 

Step  4  :

Adding fractions which have a common denominator :

 4.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 3849 + 3269     3559
 ———————————  =  ————
     500         250 

Equation at the end of step  4  :

  3559    14657
  ———— +  —————
  250     2000 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       250 

      The right denominator is :       2000 

      Least Common Multiple:
      2000 

Calculating Multipliers :

 5.2    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 = 8

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      3559 • 8
   ——————————————————  =   ————————
         L.C.M               2000  

   R. Mult. • R. Num.      14657
   ——————————————————  =   —————
         L.C.M             2000 

Adding fractions that have a common denominator :

 5.4       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:

 3559 • 8 + 14657     43129
 ————————————————  =  —————
       2000           2000 

Final result :

  43129            
  ————— = 21.56450 
  2000