Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "200.35" was replaced by "(20035/100)". 3 more similar replacement(s)

Step  1  :

            4007
 Simplify   ————
             20 

Equation at the end of step  1  :

   2501    365     4007
  (———— +  ———) +  ————
   100     10       20 

Step  2  :

            73
 Simplify   ——
            2 

Equation at the end of step  2  :

   2501    73     4007
  (———— +  ——) +  ————
   100     2       20 

Step  3  :

            2501
 Simplify   ————
            100 

Equation at the end of step  3  :

   2501    73     4007
  (———— +  ——) +  ————
   100     2       20 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       2 

      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 = 1

   Right_M = L.C.M / R_Deno = 50

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.      2501
   ——————————————————  =   ————
         L.C.M             100 

   R. Mult. • R. Num.      73 • 50
   ——————————————————  =   ———————
         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:

 2501 + 73 • 50     6151
 ——————————————  =  ————
      100           100 

Equation at the end of step  4  :

  6151    4007
  ———— +  ————
  100      20 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       20 

      Least Common Multiple:
      100 

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 = 5

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      6151
   ——————————————————  =   ————
         L.C.M             100 

   R. Mult. • R. Num.      4007 • 5
   ——————————————————  =   ————————
         L.C.M               100   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 6151 + 4007 • 5     13093
 ———————————————  =  —————
       100            50  

Final result :

  13093             
  ————— = 261.86000 
   50