Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.698" was replaced by "(5698/1000)". 3 more similar replacement(s)

Step  1  :

            2849
 Simplify   ————
            500 

Equation at the end of step  1  :

   7176    8586     2849
  (———— +  ————) +  ————
   1000    1000     500 

Step  2  :

            4293
 Simplify   ————
            500 

Equation at the end of step  2  :

   7176    4293     2849
  (———— +  ————) +  ————
   1000    500      500 

Step  3  :

            897
 Simplify   ———
            125

Equation at the end of step  3  :

   897    4293     2849
  (——— +  ————) +  ————
   125    500      500 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       125 

      The right denominator is :       500 

      Least Common Multiple:
      500 

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 = 4

   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.      897 • 4
   ——————————————————  =   ———————
         L.C.M               500  

   R. Mult. • R. Num.      4293
   ——————————————————  =   ————
         L.C.M             500 

Adding fractions that have a common denominator :

 4.4       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:

 897 • 4 + 4293     7881
 ——————————————  =  ————
      500           500 

Equation at the end of step  4  :

  7881    2849
  ———— +  ————
  500     500 

Step  5  :

Adding fractions which have a common denominator :

 5.1       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:

 7881 + 2849     1073
 ———————————  =  ————
     500          50 

Final result :

  1073            
  ———— = 21.46000 
   50