Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.0011" was replaced by "(0011/10000)". 3 more similar replacement(s)

Step  1  :

              11 
 Simplify   —————
            10000

Equation at the end of step  1  :

   101     1       11 
  (——— -  ——) -  —————
   100    10     10000

Step  2  :

             1
 Simplify   ——
            10

Equation at the end of step  2  :

   101     1       11 
  (——— -  ——) -  —————
   100    10     10000

Step  3  :

            101
 Simplify   ———
            100

Equation at the end of step  3  :

   101     1       11 
  (——— -  ——) -  —————
   100    10     10000

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       10 

      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 = 10

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.      101
   ——————————————————  =   ———
         L.C.M             100

   R. Mult. • R. Num.       10
   ——————————————————  =   ———
         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:

 101 - (10)      91
 ——————————  =  ———
    100         100

Equation at the end of step  4  :

   91      11 
  ——— -  —————
  100    10000

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       10000 

      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 = 100

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      91 • 100
   ——————————————————  =   ————————
         L.C.M              10000  

   R. Mult. • R. Num.        11 
   ——————————————————  =   —————
         L.C.M             10000

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 91 • 100 - (11)      9089
 ———————————————  =  —————
      10000          10000

Final result :

   9089           
  ————— = 0.90890 
  10000