Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.00005" was replaced by "(00005/100000)". 2 more similar replacement(s)

Step  1  :

              1  
 Simplify   —————
            20000

Equation at the end of step  1  :

   22      1  
  ——— -  —————
  100    20000

Step  2  :

            11
 Simplify   ——
            50

Equation at the end of step  2  :

  11      1  
  —— -  —————
  50    20000

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       20000 

      Least Common Multiple:
      20000 

Calculating Multipliers :

 3.2    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 = 400

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 3.3      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.      11 • 400
   ——————————————————  =   ————————
         L.C.M              20000  

   R. Mult. • R. Num.        1  
   ——————————————————  =   —————
         L.C.M             20000

Adding fractions that have a common denominator :

 3.4       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:

 11 • 400 - (1)      4399
 ——————————————  =  —————
     20000          20000

Final result :

   4399           
  ————— = 0.21995 
  20000