Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.02" was replaced by "(02/100)". 3 more similar replacement(s)

Step  1  :

             1
 Simplify   ——
            50

Equation at the end of step  1  :

     42         7        1
  (—————— +  ——————) +  ——
   100000    100000     50

Step  2  :

               7  
 Simplify   ——————
            100000

Equation at the end of step  2  :

     42         7        1
  (—————— +  ——————) +  ——
   100000    100000     50

Step  3  :

              21 
 Simplify   —————
            50000

Equation at the end of step  3  :

     21        7        1
  (————— +  ——————) +  ——
   50000    100000     50

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       50000 

      The right denominator is :       100000 

      Least Common Multiple:
      100000 

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 = 2

   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.      21 • 2
   ——————————————————  =   ——————
         L.C.M             100000

   R. Mult. • R. Num.         7  
   ——————————————————  =   ——————
         L.C.M             100000

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:

 21 • 2 + 7       49  
 ——————————  =  ——————
   100000       100000

Equation at the end of step  4  :

    49       1
  —————— +  ——
  100000    50

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       100000 

      The right denominator is :       50 

      Least Common Multiple:
      100000 

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 = 2000

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.        49  
   ——————————————————  =   ——————
         L.C.M             100000

   R. Mult. • R. Num.       2000 
   ——————————————————  =   ——————
         L.C.M             100000

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 49 + 2000      2049 
 —————————  =  ——————
  100000       100000

Final result :

   2049            
  —————— = 0.02049 
  100000