Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "280.1864" was replaced by "(2801864/10000)". 3 more similar replacement(s)

Step  1  :

            350233
 Simplify   ——————
             1250 

Equation at the end of step  1  :

   81309    89718     350233
  (————— +  —————) +  ——————
   10000     100       1250 

Step  2  :

            44859
 Simplify   —————
             50  

Equation at the end of step  2  :

   81309    44859     350233
  (————— +  —————) +  ——————
   10000     50        1250 

Step  3  :

            81309
 Simplify   —————
            10000

Equation at the end of step  3  :

   81309    44859     350233
  (————— +  —————) +  ——————
   10000     50        1250 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       10000 

      The right denominator is :       50 

      Least Common Multiple:
      10000 

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 = 1

   Right_M = L.C.M / R_Deno = 200

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.      81309
   ——————————————————  =   —————
         L.C.M             10000

   R. Mult. • R. Num.      44859 • 200
   ——————————————————  =   ———————————
         L.C.M                10000   

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:

 81309 + 44859 • 200     9053109
 ———————————————————  =  ———————
        10000             10000 

Equation at the end of step  4  :

  9053109    350233
  ——————— +  ——————
   10000      1250 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       10000 

      The right denominator is :       1250 

      Least Common Multiple:
      10000 

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 = 1

   Right_M = L.C.M / R_Deno = 8

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      9053109
   ——————————————————  =   ———————
         L.C.M              10000 

   R. Mult. • R. Num.      350233 • 8
   ——————————————————  =   ——————————
         L.C.M               10000   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 9053109 + 350233 • 8     11854973
 ————————————————————  =  ————————
        10000              10000  

Final result :

  11854973              
  ———————— = 1185.49730 
   10000