Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "228.1" was replaced by "(2281/10)". 3 more similar replacement(s)

Step  1  :

            2281
 Simplify   ————
             10 

Equation at the end of step  1  :

   1024    325495     2281
  (———— +  ——————) +  ————
    10      1000       10 

Step  2  :

            65099
 Simplify   —————
             200 

Equation at the end of step  2  :

   1024    65099     2281
  (———— +  —————) +  ————
    10      200       10 

Step  3  :

            512
 Simplify   ———
             5 

Equation at the end of step  3  :

   512    65099     2281
  (——— +  —————) +  ————
    5      200       10 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       200 

      Least Common Multiple:
      200 

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 = 40

   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.      512 • 40
   ——————————————————  =   ————————
         L.C.M               200   

   R. Mult. • R. Num.      65099
   ——————————————————  =   —————
         L.C.M              200 

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:

 512 • 40 + 65099     85579
 ————————————————  =  —————
       200             200 

Equation at the end of step  4  :

  85579    2281
  ————— +  ————
   200      10 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       200 

      The right denominator is :       10 

      Least Common Multiple:
      200 

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 = 20

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      85579
   ——————————————————  =   —————
         L.C.M              200 

   R. Mult. • R. Num.      2281 • 20
   ——————————————————  =   —————————
         L.C.M                200   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 85579 + 2281 • 20     131199
 —————————————————  =  ——————
        200             200  

Final result :

  131199             
  —————— = 655.99500 
   200