Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "34567.1" was replaced by "(345671/10)". 3 more similar replacement(s)

Step  1  :

            345671
 Simplify   ——————
              10  

Equation at the end of step  1  :

   750986    10093     345671
  (—————— +  —————) +  ——————
   10000      10         10  

Step  2  :

            10093
 Simplify   —————
             10  

Equation at the end of step  2  :

   750986    10093     345671
  (—————— +  —————) +  ——————
   10000      10         10  

Step  3  :

            375493
 Simplify   ——————
             5000 

Equation at the end of step  3  :

   375493    10093     345671
  (—————— +  —————) +  ——————
    5000      10         10  

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       5000 

      The right denominator is :       10 

      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 = 1

   Right_M = L.C.M / R_Deno = 500

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.      375493
   ——————————————————  =   ——————
         L.C.M              5000 

   R. Mult. • R. Num.      10093 • 500
   ——————————————————  =   ———————————
         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:

 375493 + 10093 • 500     5421993
 ————————————————————  =  ———————
         5000              5000  

Equation at the end of step  4  :

  5421993    345671
  ——————— +  ——————
   5000        10  

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       5000 

      The right denominator is :       10 

      Least Common Multiple:
      5000 

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 = 500

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      5421993
   ——————————————————  =   ———————
         L.C.M              5000  

   R. Mult. • R. Num.      345671 • 500
   ——————————————————  =   ————————————
         L.C.M                 5000    

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 5421993 + 345671 • 500     178257493
 ——————————————————————  =  —————————
          5000                5000   

Final result :

  178257493               
  ————————— = 35651.49860 
    5000