Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.543" was replaced by "(9543/1000)". 3 more similar replacement(s)

Step  1  :

            9543
 Simplify   ————
            1000

Equation at the end of step  1  :

   976    8952     9543
  (——— +  ————) +  ————
   10      10      1000

Step  2  :

            4476
 Simplify   ————
             5  

Equation at the end of step  2  :

   976    4476     9543
  (——— +  ————) +  ————
   10      5       1000

Step  3  :

            488
 Simplify   ———
             5 

Equation at the end of step  3  :

   488    4476     9543
  (——— +  ————) +  ————
    5      5       1000

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:

 488 + 4476     4964
 ——————————  =  ————
     5           5  

Equation at the end of step  4  :

  4964    9543
  ———— +  ————
   5      1000

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       1000 

      Least Common Multiple:
      1000 

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 = 200

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      4964 • 200
   ——————————————————  =   ——————————
         L.C.M                1000   

   R. Mult. • R. Num.      9543
   ——————————————————  =   ————
         L.C.M             1000

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:

 4964 • 200 + 9543     1002343
 —————————————————  =  ———————
       1000             1000  

Final result :

  1002343              
  ——————— = 1002.34300 
   1000