Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.081" was replaced by "(081/1000)". 3 more similar replacement(s)

Step  1  :

             81 
 Simplify   ————
            1000

Equation at the end of step  1  :

   12695     48       81 
  (————— +  ————) +  ————
   1000     1000     1000

Step  2  :

             6 
 Simplify   ———
            125

Equation at the end of step  2  :

   12695     6       81 
  (————— +  ———) +  ————
   1000     125     1000

Step  3  :

            2539
 Simplify   ————
            200 

Equation at the end of step  3  :

   2539     6       81 
  (———— +  ———) +  ————
   200     125     1000

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       200 

      The right denominator is :       125 

      Least Common Multiple:
      1000 

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 = 5

   Right_M = L.C.M / R_Deno = 8

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.      2539 • 5
   ——————————————————  =   ————————
         L.C.M               1000  

   R. Mult. • R. Num.      6 • 8
   ——————————————————  =   —————
         L.C.M             1000 

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:

 2539 • 5 + 6 • 8     12743
 ————————————————  =  —————
       1000           1000 

Equation at the end of step  4  :

  12743     81 
  ————— +  ————
  1000     1000

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:

 12743 + 81     1603
 ——————————  =  ————
    1000        125 

Final result :

  1603            
  ———— = 12.82400 
  125