Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.032" was replaced by "(4032/1000)". 3 more similar replacement(s)

Step  1  :

            504
 Simplify   ———
            125

Equation at the end of step  1  :

   140067    1081     504
  (—————— +  ————) +  ———
   10000     100      125

Step  2  :

            1081
 Simplify   ————
            100 

Equation at the end of step  2  :

   140067    1081     504
  (—————— +  ————) +  ———
   10000     100      125

Step  3  :

            140067
 Simplify   ——————
            10000 

Equation at the end of step  3  :

   140067    1081     504
  (—————— +  ————) +  ———
   10000     100      125

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       10000 

      The right denominator is :       100 

      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 = 100

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.      140067
   ——————————————————  =   ——————
         L.C.M             10000 

   R. Mult. • R. Num.      1081 • 100
   ——————————————————  =   ——————————
         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:

 140067 + 1081 • 100     248167
 ———————————————————  =  ——————
        10000            10000 

Equation at the end of step  4  :

  248167    504
  —————— +  ———
  10000     125

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       10000 

      The right denominator is :       125 

      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 = 80

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      248167
   ——————————————————  =   ——————
         L.C.M             10000 

   R. Mult. • R. Num.      504 • 80
   ——————————————————  =   ————————
         L.C.M              10000  

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 248167 + 504 • 80     288487
 —————————————————  =  ——————
       10000           10000 

Final result :

  288487            
  —————— = 28.84870 
  10000