Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "228.013" was replaced by "(228013/1000)". 3 more similar replacement(s)

Step  1  :

            228013
 Simplify   ——————
             1000 

Equation at the end of step  1  :

   24    32521     228013
  (—— +  —————) +  ——————
   10     100       1000 

Step  2  :

            32521
 Simplify   —————
             100 

Equation at the end of step  2  :

   24    32521     228013
  (—— +  —————) +  ——————
   10     100       1000 

Step  3  :

            12
 Simplify   ——
            5 

Equation at the end of step  3  :

   12    32521     228013
  (—— +  —————) +  ——————
   5      100       1000 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       100 

      Least Common Multiple:
      100 

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 = 20

   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.      12 • 20
   ——————————————————  =   ———————
         L.C.M               100  

   R. Mult. • R. Num.      32521
   ——————————————————  =   —————
         L.C.M              100 

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:

 12 • 20 + 32521     32761
 ———————————————  =  —————
       100            100 

Equation at the end of step  4  :

  32761    228013
  ————— +  ——————
   100      1000 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       1000 

      Least Common Multiple:
      1000 

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.      32761 • 10
   ——————————————————  =   ——————————
         L.C.M                1000   

   R. Mult. • R. Num.      228013
   ——————————————————  =   ——————
         L.C.M              1000 

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 32761 • 10 + 228013     555623
 ———————————————————  =  ——————
        1000              1000 

Final result :

  555623             
  —————— = 555.62300 
   1000