Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.1234" was replaced by "(1234/10000)". 3 more similar replacement(s)

Step  1  :

             617
 Simplify   ————
            5000

Equation at the end of step  1  :

   1234    1234      617
  (———— +  ————) +  ————
   100     1000     5000

Step  2  :

            617
 Simplify   ———
            500

Equation at the end of step  2  :

   1234    617      617
  (———— +  ———) +  ————
   100     500     5000

Step  3  :

            617
 Simplify   ———
            50 

Equation at the end of step  3  :

   617    617      617
  (——— +  ———) +  ————
   50     500     5000

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       50 

      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 = 10

   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.      617 • 10
   ——————————————————  =   ————————
         L.C.M               500   

   R. Mult. • R. Num.      617
   ——————————————————  =   ———
         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:

 617 • 10 + 617     6787
 ——————————————  =  ————
      500           500 

Equation at the end of step  4  :

  6787     617
  ———— +  ————
  500     5000

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       5000 

      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 = 10

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      6787 • 10
   ——————————————————  =   —————————
         L.C.M               5000   

   R. Mult. • R. Num.       617
   ——————————————————  =   ————
         L.C.M             5000

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 6787 • 10 + 617     68487
 ———————————————  =  —————
      5000           5000 

Final result :

  68487            
  ————— = 13.69740 
  5000