Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "13.4633" was replaced by "(134633/10000)". 3 more similar replacement(s)

Step  1  :

            134633
 Simplify   ——————
            10000 

Equation at the end of step  1  :

   685    214526     134633
  (——— -  ——————) -  ——————
   10     10000      10000 

Step  2  :

            107263
 Simplify   ——————
             5000 

Equation at the end of step  2  :

   685    107263     134633
  (——— -  ——————) -  ——————
   10      5000      10000 

Step  3  :

            137
 Simplify   ———
             2 

Equation at the end of step  3  :

   137    107263     134633
  (——— -  ——————) -  ——————
    2      5000      10000 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       2 

      The right denominator is :       5000 

      Least Common Multiple:
      5000 

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 = 2500

   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.      137 • 2500
   ——————————————————  =   ——————————
         L.C.M                5000   

   R. Mult. • R. Num.      107263
   ——————————————————  =   ——————
         L.C.M              5000 

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:

 137 • 2500 - (107263)     235237
 —————————————————————  =  ——————
         5000               5000 

Equation at the end of step  4  :

  235237    134633
  —————— -  ——————
   5000     10000 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       5000 

      The right denominator is :       10000 

      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 = 2

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      235237 • 2
   ——————————————————  =   ——————————
         L.C.M               10000   

   R. Mult. • R. Num.      134633
   ——————————————————  =   ——————
         L.C.M             10000 

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 235237 • 2 - (134633)     335841
 —————————————————————  =  ——————
         10000             10000 

Final result :

  335841            
  —————— = 33.58410 
  10000