Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.2962962" was replaced by "(2962962/10000000)". 2 more similar replacement(s)

Step  1  :

            1481481
 Simplify   ———————
            5000000

Equation at the end of step  1  :

         6666     1481481
  (1 -  —————) -  ———————
        10000     5000000

Step  2  :

            3333
 Simplify   ————
            5000

Equation at the end of step  2  :

        3333     1481481
  (1 -  ————) -  ———————
        5000     5000000

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5000  as the denominator :

          1     1 • 5000
     1 =  —  =  ————————
          1       5000  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 3.2       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:

 5000 - (3333)     1667
 —————————————  =  ————
     5000          5000

Equation at the end of step  3  :

  1667    1481481
  ———— -  ———————
  5000    5000000

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       5000 

      The right denominator is :       5000000 

      Least Common Multiple:
      5000000 

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 = 1000

   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.      1667 • 1000
   ——————————————————  =   ———————————
         L.C.M               5000000  

   R. Mult. • R. Num.      1481481
   ——————————————————  =   ———————
         L.C.M             5000000

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 1667 • 1000 - (1481481)      185519
 ———————————————————————  =  ———————
         5000000             5000000

Final result :

   185519           
  ——————— = 0.03710 
  5000000